On the homotopy type of the space of generalized Morse functions
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Publication:1077765
DOI10.1016/0040-9383(84)90043-0zbMath0595.57025OpenAlexW2025596829MaRDI QIDQ1077765
Publication date: 1984
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(84)90043-0
critical pointsMorse functionbirth-death singularitiescompact smooth n-manifoldspace \({\mathcal H}(N,\partial N)\) of all smooth real-valued functionsThom-Boardman singularities
Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15) Homotopy groups of special spaces (55Q52)
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