Measurable Cardinals and Finie Intervals Between Regular Toplogies

Christopher Good; DW McIntyre; WS Watson

doi:10.1016/S0166-8641(01)00210-3

Measurable Cardinals and Finie Intervals Between Regular Toplogies

Christopher Good, DW McIntyre, WS Watson

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Assuming the existence of infinitely many measurable cardinals, a finite lattice is isomorphic to the interval between two T-3 topologies on some set if and only if it is distributive. A characterisation is given for those finite lattices which are isomorphic to the interval between two T-3 topologies on a countable set. (C) 2001 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	429-441
Number of pages	13
Journal	Topology and its Applications
Volume	123
Issue number	3
DOIs	https://doi.org/10.1016/S0166-8641(01)00210-3
Publication status	Published - 30 Sept 2002

Keywords

measurable cardinal
lattice of topologies

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10.1016/S0166-8641(01)00210-3

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abstract = "Assuming the existence of infinitely many measurable cardinals, a finite lattice is isomorphic to the interval between two T-3 topologies on some set if and only if it is distributive. A characterisation is given for those finite lattices which are isomorphic to the interval between two T-3 topologies on a countable set. (C) 2001 Elsevier Science B.V. All rights reserved.",

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AU - Watson, WS

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AB - Assuming the existence of infinitely many measurable cardinals, a finite lattice is isomorphic to the interval between two T-3 topologies on some set if and only if it is distributive. A characterisation is given for those finite lattices which are isomorphic to the interval between two T-3 topologies on a countable set. (C) 2001 Elsevier Science B.V. All rights reserved.

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KW - lattice of topologies

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Measurable Cardinals and Finie Intervals Between Regular Toplogies

Abstract

Keywords

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