A study of the Ganea conjecture for topological complexity by using weak topological complexity

In this paper, we provide sufficient conditions for a space X to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two auxiliary invariants: weak topological complexity in the sense of Berstein–Hilton, along with a certain stable version of it. Several examples are...

Full description

Saved in:
Bibliographic Details
Published inMathematical proceedings of the Cambridge Philosophical Society Vol. 177; no. 2; pp. 241 - 261
Main Authors GARCIA-CALCINES, J. M., VANDEMBROUCQ, L.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2024
Subjects
Complexity
Equality
Topology
55Q25
55P99
55M30
Online AccessGet full text
ISSN0305-0041
1469-8064
DOI10.1017/S0305004124000215

Cover

More Information
Summary:In this paper, we provide sufficient conditions for a space X to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two auxiliary invariants: weak topological complexity in the sense of Berstein–Hilton, along with a certain stable version of it. Several examples are discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004124000215