Some consequences of the Vietoris Mapping Theorem
نویسندگان
چکیده
منابع مشابه
A Vietoris Mapping Theorem for Homotopy
Let X and Y be compact metric spaces and let a map /: X—> Y be onto. The Vietoris Mapping Theorem as proved by Vietoris [8] states that if for all Ofkrfkn-1 and all yEY, flr(/_1(y)) =0 (augmented Vietoris homology mod two) then the induced homomorphism /*: Hr(X)-+Hr(Y) is an isomorphism onto for rfkn — l and onto for r=n. Begle [l; 2] has generalized this theorem to nonmetric spaces and more ge...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1958
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-45-1-273-282