Region-based topology

Journal of Philosophical Logic 26 (3):251-309 (1997)
Abstract
A topological description of space is given, based on the relation of connection among regions and the property of being limited. A minimal set of 10 constraints is shown to permit definitions of points and of open and closed sets of points and to be characteristic of locally compact T2 spaces. The effect of adding further constraints is investigated, especially those that characterise continua. Finally, the properties of mappings in region-based topology are studied. Not all such mappings correspond to point functions and those that do correspond to continuous functions
Keywords Philosophy
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Reprint years 2004
DOI 10.1023/A:1017904631349
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References found in this work BETA
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.
Lectures on Boolean Algebras.Paul R. Halmos - 1966 - Journal of Symbolic Logic 31 (2):253-254.
Generalisation of First-Order Logic to Nonatomic Domains.P. Roeper - 1985 - Journal of Symbolic Logic 50 (3):815-838.

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Citations of this work BETA
Enduring Through Gunk.Matt Leonard - forthcoming - Erkenntnis:1-19.
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Mereotopology without Mereology.Peter Forrest - 2010 - Journal of Philosophical Logic 39 (3):229-254.
New Work for Carnap's Quasi-Analysis.Thomas Mormann - 2009 - Journal of Philosophical Logic 38 (3):249-282.

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