Rudyak's conjecture for lower dimensional 1-connected manifolds
Algebraic Topology
2026-04-13 v2 Geometric Topology
Abstract
Rudyak's conjecture states that for any degree one map between oriented closed manifolds there is the inequality for the Lusternik-Shnirelmann category. We prove the Rudyak's conjecture for -dimensional simply connected spin manifolds for .
Cite
@article{arxiv.2508.18534,
title = {Rudyak's conjecture for lower dimensional 1-connected manifolds},
author = {Alexander Dranishnikov and Deep Kundu},
journal= {arXiv preprint arXiv:2508.18534},
year = {2026}
}