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A Characterization of LCn Compacta in Terms of Gromov-Hausdorff Convergence

Published online by Cambridge University Press:  20 November 2018

Kazuhiro Kawamura
Kazuhiro Kawamura*
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan Saskatoon, Saskatchewan S7N 0W0
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Abstract

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It is proved that a compactum is locally n-connected if and only if it is the limit (in the sense of Gromov-Hausdorff convergence) of an "equi-locally n-connected" sequence of (at most) (n + 1)-dimensional compacta.

Keywords

54F4554H25locally n-connectedGromov-Hausdorff convergencesoft maps
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 505 - 513
Copyright
Copyright © Canadian Mathematical Society 1994

References

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