Morse-smale Characteristic in Circle-valued Morse Theory

نویسنده

  • Dorin Andrica
چکیده

In this paper we consider the φF category associated to the family of circle valued Morse functions defined on a closed manifold M . This number will be called the Morse-Smale characteristic of manifold M for circle-valued Morse functions and and it will be denoted by γs1(M). We present some basic notions and results concerning circle-valued Morse functions and we prove some properties for γs1(M). 2000 Mathematics Subject Classification: 58E05; 57R70; 57R45.

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تاریخ انتشار 2010