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학술저널

HOMOTOPIC EXTENSION OF HOMOTOPIC MAPS ON ESH–COMPACTIFICATIONS

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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 ESHcompactifications remain homotopic under certain conditions.

1. Introduction

2. Extension of continuous maps on ESH-compactifications

3. Extension of maps and homotopy

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