Fiber-connected, indefinite Morse 2-functions on connected n-manifolds
نویسندگان
چکیده
منابع مشابه
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-dimensional submanifolds of the range, in which case the Morse 2-function is "indefinite." This is founda...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2011
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1018465108