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Ends of spaces related by a covering map

Published online by Cambridge University Press:  20 November 2018

Georg Peschke
Georg Peschke*
Affiliation:
Dept. of Mathematics, University of Alberta, Edmonton, Canada T6G 2G1
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Consider a covering p : X → B of connected topological spaces. If B is a compact polyhedron, a classical result of H. Hopf [4] says that the end space E(X) of X is an invariant of the group G of covering transformations. Thus it becomes meaningful to define the end space of the finitely generated group G as E(G) := E(X).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 110 - 118
Copyright
Copyright © Canadian Mathematical Society 1990

References

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