Generalized reduced omology and duality

Date

1980

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Abstract

The purpose of this work is to provide a broad framework for the study of generalized reduced homology and cohomology theories. Both homology and cohomology groups are obtained from the same functor. This functor is called the omology group in extension of a terminology introduced by D.G. Bourgin. It is defined on certain sequences of spaces called spectra and cospectra. A product structure is developed for the omology groups and is used to study a duality theory which is a generalization of the S-duality theory of Spanier and Whitehead. [...]

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Keywords

Homology theory, Duality theory (Mathematics), Homotopy theory

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