Display Abstract

Title Intrinsic Shape in Dynamical Systems

Name Zoran Misajleski
Country Rep of Macedonia
Email misajleski@gf.ukim.edu.mk
Co-Author(s) Martin Shoptrajanov, Nikita Shekutkovski
Submit Time 2014-03-30 18:04:28
Contents
The interaction between topology and dynamical systems will be considered through shape theory tools. Namely, using the intrinsic approach to shape, the notion of proximate net will be introduced as a sequence of near continuous functions which converge in homotopical sense and a natural way of producing one in a given flow will be discussed. The central part of the presentation will be to generalize the shape-attractor theorem for Morse decomposition and to give the strong shape version, using the intrinsic approach.