Homology, Homotopy and Applications

The geometric realization of monomial ideal rings and a theorem of Trevisan

A. Bahri, M. Bendersky, F. R. Cohen, and S. Gitler

Full-text: Open access

Abstract

A direct proof is presented of a form of Alvise Trevisan’s theorem, that every monomial ideal ring is represented by the cohomology of a topological space. Certain of these rings are shown to be realized by polyhedral products indexed by simplicial complexes.

Article information

Source
Homology Homotopy Appl., Volume 15, Number 2 (2013), 1-7.

Dates
First available in Project Euclid: 8 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.hha/1383945273

Mathematical Reviews number (MathSciNet)
MR3117384

Zentralblatt MATH identifier
1279.13031

Subjects
Primary: 13F55: Stanley-Reisner face rings; simplicial complexes [See also 55U10]
Secondary: 55T20: Eilenberg-Moore spectral sequences [See also 57T35] 57T35: Applications of Eilenberg-Moore spectral sequences [See also 55R20, 55T20]

Keywords
Monomial ideal ring Stanley-Reisner ring Davis-Januszkiewicz space polarization polyhedral product

Citation

Bahri, A.; Bendersky, M.; Cohen, F. R.; Gitler, S. The geometric realization of monomial ideal rings and a theorem of Trevisan. Homology Homotopy Appl. 15 (2013), no. 2, 1--7. https://projecteuclid.org/euclid.hha/1383945273


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