Compactly Generated Shape Index Theory and its Application to a Retarded Nonautonomous Parabolic Equation

27 Jul 2019 Wang Jintao Duan Jinqiao Li Desheng

We establish the compactly generated shape (H-shape) index theory for local semiflows on complete metric spaces via more general shape index pairs, and define the H-shape cohomology index to develop the Morse equations. The main advantages are that the quotient space $N/E$ is not necessarily metrizable for the shape index pair $(N,E)$ and $N\sm E$ need not to be a neighborhood of the compact invariant set... (read more)

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