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Projectives in some categories of Hausdorff spaces

Part of: Homological algebra

Published online by Cambridge University Press:  09 April 2009

Asit Baran Raha
Asit Baran Raha
Affiliation:
Indian Statistical Institute203, Barrackpore Trunk Road Calcutta 700035, India
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Abstract

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An investigation on the existence of projective objects and projective resolutions has been carried out in some categories more general than the category of compact spaces and continuous maps.

MSC classification

Secondary: 18G05: Projectives and injectives 18G10: Resolutions; derived functors
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 1 , February 1983 , pp. 7 - 15
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Gleason, A. M., ‘Projective topological spaces’, Illinois J. Math. 2 (1958), 482–489.CrossRefGoogle Scholar
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[3]Mitchell, Barry, Theory of categories (Academic Press, New York, 1965).Google Scholar
[4]Engelking, R., Outline of general topology (North-Holland, Amsterdam and Polish Scientific Publishers, Warsaw, 1968).Google Scholar
[5]Rainwater, J., ‘A note on projective resolutions’, Proc. Amer. Math. Soc. 10 (1959), 734–735.Google Scholar
[6]Flachsmeyer, J., ‘Topologische Projektivräume’, Math. Nachr. 26 (1963), 57–66.Google Scholar