Minimal free resolutions that are not supported by a CW-complex

Mauricio Velasco

doi:10.1016/j.jalgebra.2007.10.011

Minimal free resolutions that are not supported by a CW-complex

Mauricio Velasco

Cornell University

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

We provide the first examples of minimal free resolutions of monomial ideals which cannot be supported by any CW-complex. Their existence answers negatively the fundamental question of whether every monomial ideal admits a minimal cellular resolution.

Original language	English
Pages (from-to)	102-114
Number of pages	13
Journal	Journal of Algebra
Volume	319
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2007.10.011
State	Published - 1 Jan 2008
Externally published	Yes

Keywords

Resoliution of monomial ideals

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10.1016/j.jalgebra.2007.10.011

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Minimal free resolutions that are not supported by a CW-complex

Abstract

Keywords

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