Functors on the category of quasi-fibrations

Norio Iwase, Michihiro Sakai

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider the following questions: when can we extend a continuous endofunctor on Top the category of topological spaces to a fibrewise continuous endofunctor on Top (2) the category of continuous maps? If this is true, does such fibrewise continuous endofunctor preserve fibrations? In this paper, we define Fib the topological category of cell-wise trivial fibre spaces over polyhedra and show that any continuous endofunctor on Top induces a fibrewise continuous endofunctor on Fib preserving the class of quasi-fibrations.

Original languageEnglish
Pages (from-to)1403-1409
Number of pages7
JournalTopology and its Applications
Volume155
Issue number13
DOIs
Publication statusPublished - Jul 1 2008

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Fibration
Functor
Topological Category
Continuous Map
Polyhedron
Topological space
Trivial
Fiber
Cell

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Functors on the category of quasi-fibrations. / Iwase, Norio; Sakai, Michihiro.

In: Topology and its Applications, Vol. 155, No. 13, 01.07.2008, p. 1403-1409.

Research output: Contribution to journalArticle

Iwase, Norio ; Sakai, Michihiro. / Functors on the category of quasi-fibrations. In: Topology and its Applications. 2008 ; Vol. 155, No. 13. pp. 1403-1409.
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