Resolutions of p–stratifolds with isolated singularities

Recently M Kreck introduced a class of stratified spaces called p–stratifolds [M Kreck, Stratifolds, Preprint]. He defined and investigated resolutions of p–stratifolds analogously to resolutions of algebraic varieties. In this note we study a very special case of resolutions, so called optimal resolutions, for p–stratifolds with isolated singularities. We give necessary and sufficient conditions for existence and analyze their classification.

Keywords

stratifold, stratified space, resolution, isolated singularity

Mathematical Subject Classification 2000

Primary: 58A32

Secondary: 58K60

References

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Publication

Received: 17 March 2003

Revised: 15 September 2003

Accepted: 21 September 2003

Published: 16 October 2003

Authors

Anna Grinberg
Department of Mathematics UC San Diego 9500 Gilman Drive La Jolla, CA, 92093-0112 USA

Volume 3, issue 2 (2003)

Anna Grinberg