Completely metrizable spaces of embeddings
HTML articles powered by AMS MathViewer
- by R. A. McCoy
- Proc. Amer. Math. Soc. 84 (1982), 437-442
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640249-5
- PDF | Request permission
Abstract:
A study is made of the complete metrizability of spaces of embeddings and spaces of homeomorphisms under the compact-open topology. It is shown that the space of continuous injections from a hemicompact metric space into a complete metric space is completely metrizable.References
- Paul Alexandroff, Über nulldimensionale Punktmengen, Math. Ann. 98 (1928), no. 1, 89–106 (German). MR 1512393, DOI 10.1007/BF01451582
- Richard F. Arens, A topology for spaces of transformations, Ann. of Math. (2) 47 (1946), 480–495. MR 17525, DOI 10.2307/1969087
- Edward Beckenstein, Lawrence Narici, and Charles Suffel, Topological algebras, North-Holland Mathematics Studies, Vol. 24, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. MR 0473835 C. Kuratowski, Evaluation de la classe borèlienne ou projective dún ensemble de points à l’aide des symboles logiques, Fund. Math. 17 (1931), 249-272.
Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 437-442
- MSC: Primary 54C35; Secondary 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640249-5
- MathSciNet review: 640249