Relevant bibliographies by topics / Metrisation

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Metrisation'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Metrisation"

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COLLINS, P. J., and P. M. GARTSIDE. "Metrisation, Topological Groups, and Compacta." Annals of the New York Academy of Sciences 806, no. 1 Papers on Gen (December 1996): 106–20. http://dx.doi.org/10.1111/j.1749-6632.1996.tb49162.x.

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Good, Chris, and A. M. Mohamad. "A metrisation theorem for pseudocompact spaces." Bulletin of the Australian Mathematical Society 63, no. 1 (February 2001): 101–4. http://dx.doi.org/10.1017/s0004972700019158.

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Ferrando, J. C., J. Kasakol, and M. López Pellicer. "Necessary and sufficient conditions for precompact sets to be metrisable." Bulletin of the Australian Mathematical Society 74, no. 1 (August 2006): 7–13. http://dx.doi.org/10.1017/s0004972700035528.

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This self-contained paper characterises those locally convex spaces whose (weakly) precompact (respectively, compact) subsets are metrisable. Applications and examples are provided. Our approach also applies to get Cascales-Orihuela's, Valdivia's and Robertson's metrisation theorems for (pre)compact sets.
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Fearnley, David L. "Metrisation of Moore spaces and abstract topological manifolds." Bulletin of the Australian Mathematical Society 56, no. 3 (December 1997): 395–401. http://dx.doi.org/10.1017/s0004972700031178.

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The problem of metrising abstract topological spaces constitutes one of the major themes of topology. Since, for each new significant class of topological spaces this question arises, the problem is always current. One of the famous metrisation problems is the Normal Moore Space Conjecture. It is known from relatively recent work that one must add special conditions in order to be able to get affirmative results for this problem. In this paper we establish such special conditions. Since these conditions are characterised by local simplicity and global coherence they are referred to in this paper generically as “abstract topological manifolds.” In particular we establish a generalisation of a classical development of Bing, giving a proof which is complete in itself, not depending on the result or arguments of Bing. In addition we show that the spaces recently developed by Collins designated as “W satisfying open G(N)” are metrisable if they are locally separable and locally connected and regular. Finally, we establish a new necessary and sufficient condition for spaces to be metrisable.
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Moody, P. J. "Concerning the Collins, Reed, Roscoe, Rudin Metrisation Theorem." Bulletin of the London Mathematical Society 25, no. 5 (September 1993): 476–80. http://dx.doi.org/10.1112/blms/25.5.476.

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DUNG, NGUYEN VAN, and VO THI LE HANG. "ON THE COMPLETION OF -METRIC SPACES." Bulletin of the Australian Mathematical Society 98, no. 2 (July 5, 2018): 298–304. http://dx.doi.org/10.1017/s0004972718000394.

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Based on the metrisation of $b$-metric spaces of Paluszyński and Stempak [‘On quasi-metric and metric spaces’, Proc. Amer. Math. Soc.137(12) (2009), 4307–4312], we prove that every $b$-metric space has a completion. Our approach resolves the limitation in using the quotient space of equivalence classes of Cauchy sequences to obtain a completion of a $b$-metric space.
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Dissertations / Theses on the topic "Metrisation"

1

Fearnley, David L. "Dense embeddings of #sigma#-discrete #pi#-based spaces." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244550.

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Book chapters on the topic "Metrisation"

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"Metrisation." In Topology with Applications, 167–80. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814407663_0011.

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"Selected Topics: Uniformity and Metrisation." In Topology with Applications, 219–41. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814407663_0014.

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"10 A Unified Approach to Metrisation Problems." In Proximity Approach to Problems in Topology and Analysis, 121–24. München: Oldenbourg Verlag, 2009. http://dx.doi.org/10.1524/9783486598605.121.

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Conference papers on the topic "Metrisation"

1

COLLINS, P. J. "A UNIFORM SPACE PROOF OF A METRISATION THEOREM." In Proceedings of the North-West European Category Seminar. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702418_0006.

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