Topology Proceedings Document # baad-15
topology proceedings
Electronic Version 17 (1992), 111-130

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Well-ordered (F) spaces

P. M. Gartside and P. J. Moody

Elastic (hence metrisable, proto-metrisable and linearly stratifiable) spaces have well-ordered (F) and every well-ordered (F) space is monotonically normal and hereditarily paracompact. The class of well-ordered (F) spaces is shown to be closed under closed maps and the duplication and scattering processes. A product theory is developed and compact well-ordered (F) spaces are investigated. Complete details of the relationships between the `classical' cardinal invariants for well-ordered (F) spaces are given.

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Copyright © 1998 Auburn University and Topology Atlas | Date published electronically: January 07, 1998