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Projective bitopological spaces II.

Published online by Cambridge University Press:  09 April 2009

M. C. Datta
M. C. Datta
Affiliation:
Department of Mathematics, Birla Institute of Technology and SciencePilani (Rajasthan), India
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Gleason [3] proved that in the category G of compact Hausdorff spaces and continuous maps, the projective objects are precisely the extremally disconnected spaces contained in the category. Strauss [7] generalised this and proved that in the category G of regular Hausdorif spaces and perfect maps the projective objects are again precisely the extremally disconnected ones. Observe that Gleason's category is a full subcategory of Strauss's category.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 1 , July 1972 , pp. 119 - 128
Copyright
Copyright © Australian Mathematical Society 1972

References

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