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Books on the topic 'Embedding space'

Author: Grafiati

Published: 25 May 2024

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1

Froehlich, Annette, ed. Embedding Space in African Society. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06040-4.

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2

Riesen, Kaspar. Graph classification and clustering based on vector space embedding. New Jersey: World Scientific, 2010.

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3

1975-, Parcet Javier, ed. Mixed-norm inequalities and operator space Lp embedding theory. Providence, R.I: American Mathematical Society, 2010.

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4

Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18399-7.

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5

service), SpringerLink (Online, ed. Homogeneous Spaces and Equivariant Embeddings. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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6

Edmunds, David E., and W. Desmond Evans. Hardy Operators, Function Spaces and Embeddings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07731-3.

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7

Edmunds, David E. Hardy Operators, Function Spaces and Embeddings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.

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8

1942-, Hong Jia-Xing, ed. Isometric embedding of Riemannian manifolds in Euclidean spaces. Providence, R.I: American Mathematical Society, 2006.

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9

Bernard, Maurey, ed. H [delta]-embeddings in Hilbert space and optimization on G [delta]-sets. Providence, R.I., USA: American Mathematical Society, 1986.

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10

Envelopes and sharp embeddings of function spaces. Boca Raton, FL: Chapman & Hall/CRC, 2007.

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11

Isometric immersions and embeddings of locally Euclidean metrics. [Cottenham, Cambridge]: Cambridge Scientific, 2008.

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12

Sabitov, I. Kh. Isometric immersions and embeddings of locally Euclidean metrics. [Cottenham, Cambridge]: Cambridge Scientific, 2008.

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13

1951-, Sawyer E. T., ed. Embedding and multiplier theorems for H[superscript p](R[superscript n]). Providence, R.I., USA: American Mathematical Society, 1985.

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14

The bidual of C(X). Amsterdam: North-Holland, 1985.

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15

Deza. Scale-isometric polytopal graphs in hypercubes and cubic lattices: Polytopes in hypercubes and Zn̳. London: Imperial College Press, 2004.

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16

Samuel, Kaplan. The bidual of C(X) I. Amsterdam: North-Holland, 1985.

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17

Deza. Geometry of cuts and metrics. New York: Springer-Verlag, 1997.

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18

Smooth compactifications of locally symmetric varieties. 2nd ed. Cambridge, UK: Cambridge University Press, 2010.

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19

John, Sommese Andrew, ed. The adjunction theory of complex projective varieties. Berlin: W. de Gruyter, 1995.

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20

Simon, Barry. Harmonic analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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21

1980-, Moradifam Amir, ed. Functional inequalities: New perspectives and new applications. Providence, Rhode Island: American Mathematical Society, 2013.

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22

Jakobson, Dmitry, Pierre Albin, and Frédéric Rochon. Geometric and spectral analysis. Providence, Rhode Island: American Mathematical Society, 2014.

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23

Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, Rhode Island: American Mathematical Society, 2013.

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24

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. Providence, R.I: American Mathematical Society, 2011.

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25

Behrens, Stefan, Boldizsar Kalmar, Min Hoon Kim, Mark Powell, and Arunima Ray, eds. The Disc Embedding Theorem. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198841319.001.0001.

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The disc embedding theorem provides a detailed proof of the eponymous theorem in 4-manifold topology. The theorem, due to Michael Freedman, underpins virtually all of our understanding of 4-manifolds in the topological category. Most famously, this includes the 4-dimensional topological Poincaré conjecture. Combined with the concurrent work of Simon Donaldson, the theorem reveals a remarkable disparity between the topological and smooth categories for 4-manifolds. A thorough exposition of Freedman’s proof of the disc embedding theorem is given, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided. Techniques from decomposition space theory are used to show that an object produced by an infinite, iterative process, which we call a skyscraper, is homeomorphic to a thickened disc, relative to its boundary. A stand-alone interlude explains the disc embedding theorem’s key role in smoothing theory, the existence of exotic smooth structures on Euclidean space, and all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. The book is written to be accessible to graduate students working on 4-manifolds, as well as researchers in related areas. It contains over a hundred professionally rendered figures.

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26

Edmunds, D. E., and W. D. Evans. Sobolev Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0005.

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This chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded space domains: also the approximation numbers of embedding maps are estimated and these estimates used to classify the embeddings.

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27

Froehlich, Annette. Embedding Space in African Society: The United Nations Sustainable Development Goals 2030 Supported by Space Applications. Springer, 2019.

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28

Hrushovski, Ehud, and François Loeser. The space of stably dominated types. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0003.

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This chapter introduces the space unit vector V of stably dominated types on a definable set V. It first endows unit vector V with a canonical structure of a (strict) pro-definable set before providing some examples of stably dominated types. It then endows unit vector V with the structure of a definable topological space, and the properties of this definable topology are discussed. It also examines the canonical embedding of V in unit vector V as the set of simple points. An essential feature in the approach used in this chapter is the existence of a canonical extension for a definable function on V to unit vector V. This is considered in the next section where continuity criteria are given. The chapter concludes by describing basic notions of (generalized) paths and homotopies, along with good metrics, Zariski topology, and schematic distance.

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29

Rostami, Mohammad. Transfer Learning Through Embedding Spaces. Taylor & Francis Group, 2021.

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30

Rostami, Mohammad. Transfer Learning Through Embedding Spaces. Taylor & Francis Group, 2021.

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31

Rostami, Mohammad. Transfer Learning Through Embedding Spaces. Taylor & Francis Group, 2021.

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32

Rostami, Mohammed. Transfer Learning Through Embedding Spaces. Taylor & Francis Group, 2021.

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33

Metric Embeddings: Bilipschitz and Coarse Embeddings into Banach Spaces. de Gruyter GmbH, Walter, 2013.

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34

Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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35

Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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36

Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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37

Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Springer, 2013.

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38

Neves, Júlio Severino. Fractional Sobolev-type spaces and embeddings. 2001.

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39

Jeannerod, Marc, and James H. Wells Lynn R. Williams. Embeddings and Extensions in Analysis. Springer, 2011.

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40

Ostrovskii, Mikhail I. Metric Embeddings: Bilipschitz and Coarse Embeddings into Banach Spaces (De Gruyter Studies in Mathematics Book 49). De Gruyter, 2013.

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41

Haroske, Dorothee D. Envelopes and Sharp Embeddings of Function Spaces. Taylor & Francis Group, 2006.

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42

Haroske, Dorothee D. Envelopes and Sharp Embeddings of Function Spaces. Taylor & Francis Group, 2006.

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43

Haroske, Dorothee D. Envelopes and Sharp Embeddings of Function Spaces. Taylor & Francis Group, 2008.

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44

Haroske, Dorothee. Envelopes and Sharp Embeddings of Function Spaces. Taylor & Francis Group, 2019.

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45

Hardy Operators, Function Spaces and Embeddings (Springer Monographs in Mathematics). Springer, 2004.

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46

Zimmermann, Thomas Ede. Fregean Compositionality. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198739548.003.0010.

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Two distinctive features of Frege’s approach to compositionality are reconstructed in terms of the theory of extension and intension: (i) its bias in favour of extensional operations; and (ii) its resort to indirect senses in the face of iterated opacity. While (i) has been preserved in current formal semantics, it proves to be stronger than a straightforward extensionality requirement in terms of Logical Space, the difference turning on a subtle distinction between extensions at particular points and extensions per se. (ii) has traditionally been dismissed as redundant, and is shown to lead to a mere ‘baroque’ reformulation of ordinary compositionality. Nevertheless, whatever Frege’s motive, the very idea of having opaque denotations keep track of the depth of their embedding gives rise to a fresh view at certain scope paradoxes that had previously been argued to lie outside the reach of a binary distinction between extension and intension.

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47

Haagerup, U., H. P. Rosenthal, and F. A. Sukochev. Banach Embedding Properties of Non-Commutative Lp-Spaces (Memoirs of the American Mathematical Society). American Mathematical Society, 2003.

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48

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Residues. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0010.

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This chapter deals with the residues of a Bruhat-Tits building whose building at infinity is an exceptional quadrangle. It begins with the remark that if Λ‎ is an arbitrary quadratic space of type Eℓ for ℓ = 6, 7 or 8 or of typeF₄ over a field K that is complete with respect to a discrete valuation, and if in the F4-case the subfield F is closed with respect to this valuation and if Δ‎ is the corresponding Moufang quadrangle of type Eℓ or F₄, then there always exists a unique affine building Ξ‎ such that Δ‎ is the building at infinity of Ξ‎ with respect to its complete system of apartments. The chapter also considers the standard embedding of the apartment A in the Euclidean plane which takes the intersection of A and R to the set of eight triangles containing the origin. Finally, it describes a Moufang polygon with two root group sequences.

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49

Cust, James. The Role of Governance and International Norms in Managing Natural Resources. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198817369.003.0019.

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The governance of natural resource wealth is considered to constitute a key determinant in whether the extraction of natural resources proves to be a blessing or a curse. In response to this challenge, a variety of international initiatives have emerged to codify successful policies pursued by countries, and promote global norms and best practices to guide decision-makers. These initiatives, such as the Extractives Industry Transparency Initiative, have seen success in spreading and embedding governance norms, ranging across revenue transparency, contract disclosure, and the creation of instruments such as resource funds and building institutions for checks and balances. However, evidence for causal impact remains weak and sometimes limited to anecdotal cases. The end of the super-cycle of commodity prices, and the prospect of permanently lower prices for fossil fuels, creates new challenges for resource-rich countries but may also allow space and time for reflection, lesson-learning and improvements in governance.

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50

Samuel, Kaplan. The bidual of C(X)I. North-Holland, 1985.

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