Are two given maps homotopic? An algorithmic viewpoint
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Author
Filakovský, MarekISTA;
Vokřínek, Lukas
Department
Abstract
This paper presents two algorithms. The first decides the existence of a pointed homotopy between given simplicial maps 𝑓,𝑔:𝑋→𝑌, and the second computes the group [𝛴𝑋,𝑌]∗ of pointed homotopy classes of maps from a suspension; in both cases, the target Y is assumed simply connected. More generally, these algorithms work relative to 𝐴⊆𝑋.
Publishing Year
Date Published
2020-04-01
Journal Title
Foundations of Computational Mathematics
Publisher
Springer Nature
Volume
20
Page
311-330
ISSN
eISSN
IST-REx-ID
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Open Access
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arXiv 1312.2337
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