On the existence of Stone-Čech compactification
نویسندگان
چکیده
منابع مشابه
On the existence of Stone-Cech compactification
Introduction. In 1937 E. Čech and M.H. Stone independently introduced the maximal compactification of a completely regular topological space, thereafter called Stone-Čech compactification [8, 18]. In the introduction of [8] the non-constructive character of this result is so described: “it must be emphasized that β(S) [the Stone-Čech compactification of S] may be defined only formally (not cons...
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If p : E → B is a continuous surjection between completely regular spaces E and B, we may apply the Stone-Čech compactification functor β to obtain a surjection βp : βE → βB. It is well-known that if E = B × F where F is a finite set and p is projection on the first factor, then βE = βB × βF , and βp is again projection on the first factor. In this paper, we apply β to an n-fold covering map, t...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2010
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl/1286198140