A Stone-Cech Compactification for Limit Spaces
Copyright policy )A Stone-Cech Compactification for Limit Spaces
Wyler (Notices Amer. Math. Soc. 15 (1968), 169. Abstract #653-306.) has given a Stone-tech compactification for limit spaces. However, his is not necessarily an embedding. Here, it is shown that any Hausdorff limit space (X, r) can be embedded as a dense subspace of a compact, Hausdorff, limit space (X1, ri) with the following property: any continuous function from (X, r) into a compact, Hausdorff, regular limit space can be uniquely extended to a continuous function on (X1, ri).
Extensions of spaces (compactifications, supercompactifications, completions, etc.), topology, limit spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
Extensions of spaces (compactifications, supercompactifications, completions, etc.), topology, limit spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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