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The free topological group on a cell complex

Published online by Cambridge University Press:  17 April 2009

J.P.L. Hardy
J.P.L. Hardy
Affiliation:
School of Mathematics and Computer Science, University College of North Wales, Bangor, Gwynedd, UK.
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Abstract

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It is proved that the free k-group on a CW-complex X is itself a CW-complex containing X as a subcomplex. It follows, as a corollary, that the free topological group on a countable CW-complex is a countable CW-complex.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 455 - 463
Copyright
Copyright © Australian Mathematical Society 1974

References

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