Co-H-spaces and the Ganea conjecture

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3 Citations (Scopus)

Abstract

A non-simply connected co-H-space X is, up to homotopy, the total space of a fibrewise-simply connected pointed fibrewise co-Hopf fibrant j:X→Bπ1(X), which is a space with a co-action of Bπ1(X) along j. We construct its homology decomposition, which yields a simple construction of its fibrewise localisation. Our main result is the construction of a series of co-H-spaces, each of which cannot be split into a one-point-sum of a simply connected space and a bunch of circles, thus disproving the Ganea conjecture.

Original languageEnglish
Pages (from-to)223-234
Number of pages12
JournalTopology
Volume40
Issue number2
DOIs
Publication statusPublished - Mar 2001

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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