Classification theorem for Menger manifolds

Chigogidze, A.

doi:10.1090/S0002-9939-1992-1143015-6

Classification theorem for Menger manifolds
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by A. Chigogidze PDF

Proc. Amer. Math. Soc. 116 (1992), 825-832 Request permission

Abstract:

We introduce the notion of the $n$-homotopy kernel of a Menger manifold and prove the following theorem: Menger manifolds are $n$-homotopy equivalent if and only if the $n$-homotopy kernels are homeomorphic.

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-soft maps of

-dimensional spaces

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