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Homeomorphisms of function spaces and hereditary cardinal invariants

โœ Scribed by Oleg Okunev

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
838 KB
Volume
80
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

A space X is called a t-image of Y if C,(X) is homeomorphic to a subspace of C,(Y). We prove that if Y is a t-image of X, then Y is a countable union of images of X under almost lower semicontinuous finite-valued mappings (see Definition 1.4). It follows that if Y is a t-image of X (in particular, if X and Y are t-equivalent), then for every n E w, hl(Y") 6 hl(X"), hd(Y") < hd(X") and s(Y") < 8(X"). 0 1997 Elsevier Science B.V.

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