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Extensions of maps to Moore spaces

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Abstract

We show that a Moore space M(ℤ m , 1) is an absolute extensor for finite-dimensional metrizable spaces of cohomological dimension at most one with respect to the group ℤ m . Applications of this result are discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of Tennessee, Knoxville, TN, 37996-1300, USA

    Jerzy Dydak

  2. Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva, 84105, Israel

    Michael Levin

Authors
  1. Jerzy Dydak
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  2. Michael Levin
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Correspondence to Jerzy Dydak.

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Dydak, J., Levin, M. Extensions of maps to Moore spaces. Isr. J. Math. 207, 981–1000 (2015). https://doi.org/10.1007/s11856-015-1190-8

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  • DOI: https://doi.org/10.1007/s11856-015-1190-8

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