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arXiv · 2307.12965

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

Jose M. Garcia-Calcines·Lucile Vandembroucq
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Abstract

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

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Jose M. Garcia-Calcines, Lucile Vandembroucq. 2023-07-24. A study of the Ganea conjecture for topological complexity by using weak topological complexity. https://arxiv.org/abs/2307.12965

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