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Fiber-connected, indefinite Morse 2-functions on connected n-manifolds

We discuss generic smooth maps from smooth manifolds to smooth surfaces, which we call “Morse 2-functions,” and homotopies between such maps. The two central issues are to keep the fibers connected, in which case the Morse 2-function is “fiber-connected,” and to avoid local extrema over one-dimensio...

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Bibliographic Details
Main Authors: Gay, David T., Kirby, Robion C.
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 2011
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC3100985/
https://ncbi.nlm.nih.gov/pubmed/21518894
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1018465108
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