The first homotopic Baire class of maps with values in ANR's coincides with the first Baire class

The first homotopic Baire class of maps with values in ANR's coincides with the first Baire class

We introduce the first homotopic Baire class of maps as a homotopical counterpart of a usual first Baire class of maps between topological spaces and show that those classes with values in ANR spaces coincide.

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Veröffentlicht in:Journal of mathematical analysis and applications 2020-02, Vol.482 (2), p.123561, Article 123561
Hauptverfasser: Karlova, Olena, Maksymenko, Sergiy
Format: Artikel
Sprache:eng
Schlagworte:
ANR space
First Baire class
Homotopy
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Zusammenfassung:We introduce the first homotopic Baire class of maps as a homotopical counterpart of a usual first Baire class of maps between topological spaces and show that those classes with values in ANR spaces coincide.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123561