Topology Proceedings
Document # baak-17
Electronic Version 24 Summer (1999) |
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Splittability, constructible sets and partial orders
A. J. Hanna and T. B. M. McMaster
The power and utility of cleavability (also known as splittability) has been well established by A. V. Arhangel'ski and his associates within a topological framework. The definition was transferred to partially ordered sets by D. J. Marron and T. B. M. McMaster. The connections between topology and order are here further exploited as we examine properties derived from splitting over simple finite partial orders. All spaces are assumed T0. The minimal topologies for these properties are readily derived from splittability considerations.
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Topology Proceedings Electronic Version
Copyright © 2001
Nipissing University
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Date published electronically: March 5, 2001.