Loop space decompositions of highly symmetric spaces with applications to polyhedral products

DOI10.1007/s40879-023-00701-5arXiv2208.10374OpenAlexW4388096423MaRDI QIDQ6085501

Lewis Stanton

Publication date: 8 November 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10374

zbMATH Keywords

homotopy typeloop spacepolyhedral product

Mathematics Subject Classification ID

Applications of graph theory (05C90) Classification of homotopy type (55P15) Loop spaces (55P35)

Cites Work

• Unnamed Item
• The homotopy type of the complement of a coordinate subspace arrangement
• Moment-angle complexes, monomial ideals and Massey products
• Cellular spaces, null spaces and homotopy localization
• Homotopy groups of highly connected Poincaré duality complexes
• Fat-wedge filtration and decomposition of polyhedral products
• The homotopy type of the polyhedral product for shifted complexes
• A note on the Hilton-Milnor theorem
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Reduced product spaces
• Moment-Angle Manifolds and Panov's Problem
• Pull-Backs in Homotopy Theory
• Polyhedral products and features of their homotopy theory
• The homotopy theory of polyhedral products associated with flag complexes
• The Homotopy Groups of Wedges of Suspensions
• Introduction to homotopy theory
• Homotopy of manifolds stabilized by projective spaces

This page was built for publication: Loop space decompositions of highly symmetric spaces with applications to polyhedral products