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Relevant bibliographies by topics / Algebraic; Topological

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Journal articles

Academic literature on the topic 'Algebraic; Topological'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "Algebraic; Topological"

1

Swamy, U. M., and R. Seshagiri Rao. "Algebraic Topological Closure Operators." Southeast Asian Bulletin of Mathematics 26, no. 4 (2003): 669–78. http://dx.doi.org/10.1007/s100120200071.

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2

Kuijpers, Bart, Jan Paredaens, and Jan Van den Bussche. "Topological elementary equivalence of closed semi-algebraic sets in the real plane." Journal of Symbolic Logic 65, no. 4 (2000): 1530–55. http://dx.doi.org/10.2307/2695063.

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AbstractWe investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol for S. Two sets are called topologically elementary equivalent if they have the same such first-order topological properties. The contribution of this paper is a natural and effective characterization of topological elementary equivalence of closed semi-algebraic sets.

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3

Kalai, Gil, Isabella Novik, Francisco Santos, and Volkmar Welker. "Geometric, Algebraic, and Topological Combinatorics." Oberwolfach Reports 16, no. 3 (2020): 2395–472. http://dx.doi.org/10.4171/owr/2019/39.

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4

Hernández-Arzusa, Julio, and Salvador Hernández. "Reflections in topological algebraic structures." Topology and its Applications 281 (August 2020): 107204. http://dx.doi.org/10.1016/j.topol.2020.107204.

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5

Chan, Onn, Ivan Gutman, Tao-Kai Lam, and Russell Merris. "Algebraic Connections between Topological Indices." Journal of Chemical Information and Computer Sciences 38, no. 1 (1998): 62–65. http://dx.doi.org/10.1021/ci970059y.

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6

Meinke, Karl. "Topological methods for algebraic specification." Theoretical Computer Science 166, no. 1-2 (1996): 263–90. http://dx.doi.org/10.1016/0304-3975(95)00261-8.

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7

HINDMAN, NEIL. "The Topological-Algebraic System(?N, +, ?)." Annals of the New York Academy of Sciences 704, no. 1 Papers on Gen (1993): 155–63. http://dx.doi.org/10.1111/j.1749-6632.1993.tb52519.x.

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8

BẮnicẮ, Constantin, and Mihai Putinar. "On complex vector bundles on rational threefolds." Mathematical Proceedings of the Cambridge Philosophical Society 97, no. 2 (1985): 279–88. http://dx.doi.org/10.1017/s0305004100062824.

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It is known [14] that every topological complex vector bundle on a smooth rational surface admits an algebraic structure. In [10] one constructs algebraic vector bundles of rank 2 on with arbitrary Chern classes c1, c2 subject to the necessary topological condition c1 c2 = 0 (mod 2). However, in dimensions greater than 2 the Chern classes don't determine the topological type of a vector bundle. In [2] one classifies the topological complex vector bundles of rank 2 on and one proves that any such bundle admits an algebraic structure.

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9

Kucharz, Wojciech, and Krzysztof Kurdyka. "Stratified-algebraic vector bundles." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 745 (2018): 105–54. http://dx.doi.org/10.1515/crelle-2015-0105.

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Abstract We investigate stratified-algebraic vector bundles on a real algebraic variety X. A stratification of X is a finite collection of pairwise disjoint, Zariski locally closed subvarieties whose union is X. A topological vector bundle ξ on X is called a stratified-algebraic vector bundle if, roughly speaking, there exists a stratification {\mathcal{S}} of X such that the restriction of ξ to each stratum S in {\mathcal{S}} is an algebraic vector bundle on S. In particular, every algebraic vector bundle on X is stratified-algebraic. It turns out that stratified-algebraic vector bundles have many surprising properties, which distinguish them from algebraic and topological vector bundles.

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10

HOSONO, SHINOBU. "ALGEBRAIC DEFINITION OF TOPOLOGICAL W GRAVITY." International Journal of Modern Physics A 07, no. 21 (1992): 5193–211. http://dx.doi.org/10.1142/s0217751x92002374.

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We propose a definition of the topological W gravity using some properties of the principal three-dimensional subalgebra of a simple Lie algebra due to Kostant. In our definition, structures of the two-dimensional topological gravity are naturally embedded in the extended theories. In accordance with the definition, we will present some explicit calculations for the W3 gravity.

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