Relevant bibliographies by topics / Completely metrizable

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Completely metrizable'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Completely metrizable"

1

Baars, Jan, Joost de Groot, and Jan Pelant. "Function spaces of completely metrizable spaces." Transactions of the American Mathematical Society 340, no. 2 (1993): 871–83. http://dx.doi.org/10.1090/s0002-9947-1993-1160154-x.

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2

Michael, E. "A note on completely metrizable spaces." Proceedings of the American Mathematical Society 96, no. 3 (1986): 513. http://dx.doi.org/10.1090/s0002-9939-1986-0822451-6.

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Slutsky, Konstantin. "Automatic Continuity for Homomorphisms into Free Products." Journal of Symbolic Logic 78, no. 4 (2013): 1288–306. http://dx.doi.org/10.2178/jsl.7804160.

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AbstractA homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.
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Michael, E. "Correction to "A Note on Completely Metrizable Spaces"." Proceedings of the American Mathematical Society 100, no. 1 (1987): 204. http://dx.doi.org/10.2307/2046148.

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Künzi, H. P. A. "Cocompactness and quasi-uniformizability of completely metrizable spaces." Topology and its Applications 133, no. 1 (2003): 89–95. http://dx.doi.org/10.1016/s0166-8641(03)00056-7.

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Burke, Dennis K., and Roman Pol. "Products of Michael spaces and completely metrizable spaces." Proceedings of the American Mathematical Society 129, no. 5 (2000): 1535–44. http://dx.doi.org/10.1090/s0002-9939-00-05664-1.

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7

Dębski, Wojciech, and E. D. Tymchatyn. "Cell structures and completely metrizable spaces and their mappings." Colloquium Mathematicum 147, no. 2 (2017): 181–94. http://dx.doi.org/10.4064/cm6576-10-2016.

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8

Beer, Gerald. "Topological Completeness of Function Spaces Arising in the Hausdorff Approximation of Functions." Canadian Mathematical Bulletin 35, no. 4 (1992): 439–48. http://dx.doi.org/10.4153/cmb-1992-058-1.

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AbstractLet X be a complete metric space. Viewing continuous real functions on X as closed subsets of X × R, equipped with Hausdorff distance, we show that C(X, R) is completely metrizable provided X is complete and sigma compact. Following the Bulgarian school of constructive approximation theory, a bounded discontinuous function may be identified with its completed graph, the set of points between the upper and lower envelopes of the function. We show that the space of completed graphs, too, is completely metrizable, provided X is locally connected as well as sigma compact and complete. In t
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9

Medvedev, S. V. "Zero-dimensional CDH spaces with a dense completely metrizable subset." Acta Mathematica Hungarica 159, no. 1 (2019): 164–73. http://dx.doi.org/10.1007/s10474-019-00989-4.

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Ferrando, Juan Carlos. "Some Topological Properties ofCbX." Journal of Function Spaces 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/195262.

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IfXis a completely regular space, first we characterize those spacesCbXwhose compact sets are metrizable. Then we use this result to provide a general condition forXto ensure the metrizability of compact sets inCbX. Finally, we characterize those spacesCbXthat have aG-basis.
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Dissertations / Theses on the topic "Completely metrizable"

1

Hu, Jing. "Complete nonnegatively curved spheres and planes." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/53898.

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We study the space of complete Riemannian metrics of nonnegative curvature on the sphere equipped with C^{k+\alpha} topology. We show the space is homogenous for k>=2. If k is infinite, we show that the space is homeomorphic to the separable Hilbert space. We also prove for finite k, the space minius any compact subset is weakly contractible.
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Neale, Daniel Lloyd. "Topics in automatic continuity for banach and other complete metrizable algebras." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616117.

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