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A note on covers defining relative and sectional categories

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Abstract We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined… Click to show full abstract

Abstract We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined by taking arbitrary covers (not necessarily open) when dealing with ANR spaces.

Keywords: category; note covers; relative sectional; sectional categories; covers defining; defining relative

Journal Title: Topology and its Applications
Year Published: 2019

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