On the uniqueness of the fixed point index on differentiable manifolds.
Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2004)
Fixed Point Theory and Applications [electronic only]
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Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2004)
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Andrzej Granas (1972)
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Fixed Point Theory and Applications [electronic only]
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Banach Center Publications
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In this note we present the main ideas of the theory of the Conley index over a base space introduced in the papers [7, 8]. The theory arised as an attempt to solve two questions concerning the classical Conley index. In the definition of the index, the exit set of an isolating neighborhood is collapsed to a point. Some information is lost on this collapse. In particular, topological information about how a set sits in the phase space is lost. The first question addressed is how to retain...
Taylor, Laurence R. (1997)
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Bulletin de la Société Mathématique de France
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