We construct the Conley index for maps. We do not assume any compactness of map or space. We prove the Wazewski property, additivity property and continuation property.
Degiovanni, M., Mrozek, M., The Conley index for maps in absence of compactness, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 1993; 123 (1): 75-94. [doi:10.1017/S0308210500021259] [https://hdl.handle.net/10807/312965]
The Conley index for maps in absence of compactness
Degiovanni, Marco
Primo
Conceptualization
;
1993
Abstract
We construct the Conley index for maps. We do not assume any compactness of map or space. We prove the Wazewski property, additivity property and continuation property.
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