On Fico's Lemmata and the homotopy type of certain gyrations

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Authors: Sebastian Chenery
Cited by: 0
References: 14

Abstract

Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology. We provide applications arising from recasting these results into the modern homotopy theoretic setting.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Geometric and Algebraic Topology Advanced Differential Geometry Research

Publication details

Journal / source
Bulletin of the London Mathematical Society
Volume
58
Issue
1
Publication date
1 January 2026
Language
EN