Algebraic and Geometric Topology 3 (2003), paper no. 36, pages 1051-1078.

Resolutions of p-stratifolds with isolated singularities

Anna Grinberg

Abstract. 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

AMS subject classification. Primary: 58A32. Secondary: 58K60.

DOI: 10.2140/agt.2003.3.1051

E-print: arXiv:math.AG/0311305

Submitted: 17 March 2003. (Revised: 15 September 2003.) Accepted: 21 September 2003. Published: 16 October 2003.

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

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