journal article
oaidoi:10.1016/0166-8641(86)90018-0

An addendum to the Vietoris-Begle theorem

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Publication date
30 June 1986
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Published by Elsevier B.V.
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    Abstract

    AbstractThe classical Vietoris-Begle Theorem is improved by observing that the image of Hαn(ƒ)Hα(Y;G)→Hαn(X:G) is ∩yϵY ker(Hαn(X; G) →Hαn(ƒ-1(y);G)) . This implies the Dual Vietoris-Begle Theorem for Steenrod homology and pro-homology, in which case one can characterize the kernel of the induced homomorphism

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