A Baues fibration category of P-spaces

Assakta Khalil, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

Abstract

The article is concerned with homotopy in the category . P whose objects are the pairs . (X,*) consisting of a Polish space . X and a closed binary operation . *. Homomorphisms in . P are continuous maps compatible with the operations. The result showed that the category . P admits the structure of a fibration category in the sense of H. Baues. The notions of fibration and weak equivalence are defined in the category . P and showed to satisfy fundamental properties that the corresponding notions satisfy in the category . Top of topological spaces.

Original languageEnglish
JournalJournal of King Saud University - Science
DOIs
Publication statusAccepted/In press - 5 Nov 2016

Fingerprint

P-space
Fibration
Polish Space
Binary operation
Continuous Map
Homomorphisms
Topological space
Homotopy
Equivalence
Closed

Keywords

  • Fibration
  • Homotopy theory
  • Model category
  • Polish spaces

ASJC Scopus subject areas

  • General

Cite this

A Baues fibration category of P-spaces. / Khalil, Assakta; Ahmad, Abd. Ghafur.

In: Journal of King Saud University - Science, 05.11.2016.

Research output: Contribution to journalArticle

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