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- W80216691 abstract "In order to obtain “intuitive insight” into special classes of topological spaces we can proceed in several ways, only a few of which will be pursued in this chapter. For instance, we can seek to describe important topological spaces by means of enough of their properties to completely characterize them, up to homeomorphism. An even more general procedure is to start from some simple, standard space and seek to characterize all those spaces which can be obtained as a continuous image of this standard space. A third procedure is to try to establish so-called embedding theorems—this method characterizes new spaces as being homeomorphic to subspaces of a well-known, standard space. Intimately allied to the problem of embedding is that of extension, which seeks to determine when a given space can be extended to a larger one, containing the given one as subspace. We shall study this problem first." @default.
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- W80216691 date "1964-01-01" @default.
- W80216691 modified "2023-09-28" @default.
- W80216691 title "Extensions and Characterization of Topological Spaces" @default.
- W80216691 doi "https://doi.org/10.1016/b978-1-4832-3316-1.50010-2" @default.
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