Functors on the category of quasi-fibrations

Norio Iwase, Michihiro Sakai

    Research output: Contribution to journalArticlepeer-review

    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

    All Science Journal Classification (ASJC) codes

    • Geometry and Topology

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