Polyhedral products and features of their homotopy theory

DOI10.1201/9781351251624-3zbMath1476.55024arXiv1903.04114OpenAlexW2921925086MaRDI QIDQ5147885

Martin Bendersky, Anthony Bahri, Frederick R. Cohen

Publication date: 29 January 2021

Published in: Handbook of Homotopy Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04114

zbMATH Keywords

arrangementscohomologymoment-angle complexpolyhedral productsimplicial wedgemonomial ideal ringDavis-Januszkiewicz spacestable splittingGolodness

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Stable homotopy theory, spectra (55P42) Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Simplicial sets and complexes in algebraic topology (55U10) Singular homology and cohomology theory (55N10) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Topological properties in algebraic geometry (14F45) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Whitehead products and generalizations (55Q15)

Related Items (4)

Loop space decompositions of highly symmetric spaces with applications to polyhedral products ⋮ Golod and tight 3-manifolds ⋮ Polyhedral products for connected sums of simplicial complexes ⋮ From Singularities to Polyhedral Products

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