Conic singularities and immediate transversality

Conic singularities and immediate transversality

I introduced the notion of immediate transversality in a recent paper on \(A_\infty\)-structures on Morse complexes. I the present chapter, I prove that immediate transversality holds for every compact submanifold with \(C^1\) conic singularities, not only in the setup of Morse Theory. This is an oc...

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Veröffentlicht in:arXiv.org 2023-09
1. Verfasser: Laudenbach, Francois
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds (mathematics)
Mathematics - Geometric Topology
Singularities
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Zusammenfassung:I introduced the notion of immediate transversality in a recent paper on \(A_\infty\)-structures on Morse complexes. I the present chapter, I prove that immediate transversality holds for every compact submanifold with \(C^1\) conic singularities, not only in the setup of Morse Theory. This is an occasion of speaking of this type of singularities.
ISSN:2331-8422
DOI:10.48550/arxiv.2309.06790