Necessary conditions for finite critical sets. Maps with infinite critical sets
DOI:
https://doi.org/10.12775/TMNA.2016.032Keywords
Critical points, homotopy groups, low dimensional manifoldsAbstract
We provide necessary conditions on a given map, between two compact differential manifolds, for its critical set to be finite. As consequences of these conditions we also provide several examples of pairs of compact differential manifolds such that every map between them has infinite critical set.References
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