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Regions Cut by Arrangements of Topological Spheres

Published online by Cambridge University Press:  20 November 2018

Lewis Pakula*
Affiliation:
Department of Mathematics University of Rhode Island Kingston, Rhode Island 02881 U.S.A.
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Abstract

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We define an arrangement of pseudohyperplanes as an image of a topological sphere arrangement with appropriate intersections, and prove that the complement components are then homologically trivial. We apply this to extend a formula of Winder and Zaslavsky.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1993

References

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