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On Exact Sequences of the Rigid Fibrations

2017/11/25 by Tayyebe Nasri, Nasri, Tayyebe, Behrooz Mashayekhy +1 · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1711.09261

Abstract

In 2002, Biss investigated on a kind of fibration which is called rigid covering fibration (we rename it by rigid fibration) with properties similar to covering spaces. In this paper, we obtain a relation between arbitrary topological spaces and its rigid fibrations. Using this relation we obtain a commutative diagram of homotopy groups and quasitopological homotopy groups and deduce some results in this field.

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