Rational homotopy of the polyhedral product functor

DOI10.1090/S0002-9939-08-09591-9zbMath1160.55008OpenAlexW2061475636MaRDI QIDQ3617576

Daniel Tanré, Yves Félix

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09591-9

zbMATH Keywords

Sullivan modelLusternik-Schnirelmann categoryGolod attachedrational homotopy polyhedral product

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

LS-category of moment-angle manifolds and higher order Massey products ⋮ On problems concerning moment-angle complexes and polyhedral products ⋮ Right-angled Artin groups, polyhedral products and the -generating function ⋮ Formality and finiteness in rational homotopy theory ⋮ Graph products of spheres, associative graded algebras and Hilbert series. ⋮ Rational methods applied to sectional category and topological complexity ⋮ The homotopy type of the polyhedral product for shifted complexes ⋮ Decompositions of polyhedral products for shifted complexes ⋮ Rational topological complexity ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Moore's conjecture for polyhedral products ⋮ The homotopy theory of polyhedral products associated with flag complexes ⋮ Topological complexity of the work map

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