Oxtoby's Pseudocompleteness Revisited

Authors

Melvin Henriksen, Harvey Mudd CollegeFollow
Ralph Kopperman, City College of New York
Marlon Rayburn, University of Manitoba
Aaron R. Todd, Baruch College

Document Type

Article

Department

Mathematics (HMC)

Publication Date

7-16-2001

Abstract

It is well known that the class of Baire spaces is not productive, and the Baire Unification problem calls for finding subclasses that are productive and have “nice” inheritance properties. This paper extends a modified version of the pseudocompleteness property of J.C. Oxtoby using the bitopological spaces of J.C. Kelly, and considers its relation to the Baire property and (non) permanence properties including productivity and inheritance by G_δ subsets of both.

Comments

Corrections to this article were published later by Elsevier.

The corrections can be located at http://dx.doi.org/10.1016/S0166-8641(01)00097-9

Rights Information

© 2000 Elsevier

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/S0166-8641(98)00095-9

Recommended Citation

Henriksen, Melvin, Kopperman, Ralph, Rayburn, Marlon, and Todd, Aaron R. 2000. Oxtoby's pseudocompleteness revisited. Topology and its Applications. 100(2-3):119-132.