HOMOTOPIC EXTENSION OF HOMOTOPIC MAPS ON ESH-COMPACTIFICATIONS

  • Received : 2005.03.05
  • Published : 2005.04.30

Abstract

In this paper, we consider locally compact Hausdorff spaces having the closed unit interval of the real line as the remainder for an ESH-compactification and obtain that in the class of compact maps the extensions of homotopic maps on the respective ESH-compactifications remain homotopic under certain conditions.

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