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Equivalent definitions of the Ganea fibrations¶and cofibrations

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Abstract:

The Ganea fibrations have been used to define Lusternik–Schnirelmann category. It is proved that three definitions of the Ganea fibrations are equivalent. Consequences are drawn for the category of a map and the notion of cocategory. In addition, Ganea cofibrations are briefly considered.

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Authors and Affiliations

  1. Department of Mathematics, Dartmouth College, Hanover, NH 03755-3551, USA. E-mail: Martin.Arkowitz@dartmouth.edu, , , , , , US

    Martin Arkowitz

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  1. Martin Arkowitz
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Received: 2 April 1999

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Arkowitz, M. Equivalent definitions of the Ganea fibrations¶and cofibrations. manuscripta math. 100, 221–229 (1999). https://doi.org/10.1007/s002290050238

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  • DOI: https://doi.org/10.1007/s002290050238

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