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Thin Lens Spaces

Published online by Cambridge University Press:  20 November 2018

P. Hoffman
Affiliation:
University of Waterloo, Waterloo, Ontario, Canada
A. Zabrodsky
Affiliation:
The Hebrew University, Jerusalem
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In Theorem 1 below we study the existence of spaces whose cohomology rings are isomorphic (as ungraded rings) to those of lens spaces. The case p = 2 is very simple and instructive, so let us consider it first.

Suppose X is a space such that where dim x = 2d (for example X = RP4 with d = 1).

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1978