Surgery approach to Rudyak's conjecture

DOI10.1016/j.topol.2021.107956zbMath1492.55004arXiv2008.06002OpenAlexW4206014703WikidataQ113862543 ScholiaQ113862543MaRDI QIDQ2125127

Jamie Scott, Alexander N. Dranishnikov

Publication date: 13 April 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06002

zbMATH Keywords

surgerydegree one mapLusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Degree, winding number (55M25) Surgery and handlebodies (57R65) Surgery obstructions, Wall groups (57R67)

Related Items (2)

Maps of degree one, LS category and higher topological complexities ⋮ On the LS-category of product of Iwase’s manifolds

Cites Work

• On category weight and its applications
• Maps of degree 1 and Lusternik-Schnirelmann category
• Lusternik-Schnirelmann category and systolic category of low-dimensional manifolds
• On the Berstein–Svarc theorem in dimension 2
• On the LS-category and topological complexity of a connected sum
• The Lusternik–Schnirelmann category of a connected sum
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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