The Category of Mereotopology and Its Ontological Consequences

University of Chicago Mathematics Research Program 2017 (2017)
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Abstract

We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, stating ontological consequences throughout. We consider entities such as boundaries utilizing Brentano’s thesis and holes utilizing homotopy theory with a rigorous proof of Hausdorff Spaces satisfying [GEM]TC axioms. Lastly, we mention further areas of study in this category.

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Saikeerthi Rachavelpula
Columbia University

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