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A Remark on Configuration Spaces of Two Points

Part of: Topological manifolds Fiber spaces and bundles

Published online by Cambridge University Press:  11 April 2018

George Raptis  and
Paolo Salvatore
George Raptis
Affiliation:
Universität Regensburg, Fakultät für Mathematik, 93040 Regensburg, Germany
Paolo Salvatore*
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Roma, Italy ([email protected])
*
*Corresponding author.
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Abstract

We prove a homotopy invariance result for a certain covering space of the space of ordered configurations of two points in M × X where M is a closed smooth manifold and X is any fixed aspherical space which is not a point.

Keywords

configuration spacehomotopy invariancespherical tangent bundle

MSC classification

Primary: 55R80: Discriminantal varieties, configuration spaces
Secondary: 57N65: Algebraic topology of manifolds
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 2 , May 2018 , pp. 599 - 605
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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