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266The Category of Mereotopology and Its Ontological ConsequencesUniversity of Chicago Mathematics Research Program 2017. 2017.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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Columbia UniversityUndergraduate
Le Petit Senegal, New York, United States of America