Open Access
2013 Mereology on Topological and Convergence Spaces
Daniel R. Patten
Notre Dame J. Formal Logic 54(1): 21-31 (2013). DOI: 10.1215/00294527-1731362

Abstract

We show that a standard axiomatization of mereology is equivalent to the condition that a topological space is discrete, and consequently, any model of general extensional mereology is indistinguishable from a model of set theory. We generalize these results to the Cartesian closed category of convergence spaces.

Citation

Download Citation

Daniel R. Patten. "Mereology on Topological and Convergence Spaces." Notre Dame J. Formal Logic 54 (1) 21 - 31, 2013. https://doi.org/10.1215/00294527-1731362

Information

Published: 2013
First available in Project Euclid: 14 December 2012

zbMATH: 1284.03138
MathSciNet: MR3007959
Digital Object Identifier: 10.1215/00294527-1731362

Subjects:
Primary: 06A06
Secondary: 54A20

Keywords: convergence space , general extensional mereology , mereology , mereotopology , Set theory , topology

Rights: Copyright © 2013 University of Notre Dame

Vol.54 • No. 1 • 2013
Back to Top