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On the generalized same N-type conjecture

Published online by Cambridge University Press:  24 July 2014

DAE-WOONG LEE*
Affiliation:
Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do 561-756, Republic of Korea. e-mail: dwlee@jbnu.ac.kr

Abstract

In this paper we prove the generalized version of the same n-type conjecture posed by McGibbon and Møller in [15, page 287]: it is shown that the set of all the same homotopy n-types of the suspension of the smash products of the Eilenberg-MacLane spaces is the one element set consisting of a single homotopy type.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2014 

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