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
Much recent work aimed at providing a formal ontology for the common-sense world has emphasized the ...
The origins of mereotopology go back to the works of Leśniewski [4] on mereology and, on the other ...
Parthood is used widely in ontologies across subject domains, specified in a multitude of mereologic...
We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, ...
This is a brief overview of formal theories concerned with the study of the notions of (and the rela...
This paper offers a critical reconstruction of the motivations that led to the development of mereol...
PublishedWhereas mereology, in the strict sense, is concerned solely with the part–whole relation, m...
Parthood is used widely in ontologies across subject domains. Some modelling guidance can be gleaned...
Mereotopology is today regarded as a major tool for ontological analysis, and for many good reasons...
In the graphical representation of ontologies, it is customary to use graph theory as the representa...
I shall attempt in what follows to show how mereology, taken together with certain topological notio...
This paper will first introduce first-order mereotopological axioms and axiomatized theories which c...
Considering topology as an extension of mereology, this paper analyses topological variants of mereo...
This sketch of a perhaps future 'Elementary Theory of the Category of Mereological Sums (including M...
Mereotopology is a theory of connected parts. The existence of boundaries, as parts of everyday obje...
Much recent work aimed at providing a formal ontology for the common-sense world has emphasized the ...
The origins of mereotopology go back to the works of Leśniewski [4] on mereology and, on the other ...
Parthood is used widely in ontologies across subject domains, specified in a multitude of mereologic...
We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, ...
This is a brief overview of formal theories concerned with the study of the notions of (and the rela...
This paper offers a critical reconstruction of the motivations that led to the development of mereol...
PublishedWhereas mereology, in the strict sense, is concerned solely with the part–whole relation, m...
Parthood is used widely in ontologies across subject domains. Some modelling guidance can be gleaned...
Mereotopology is today regarded as a major tool for ontological analysis, and for many good reasons...
In the graphical representation of ontologies, it is customary to use graph theory as the representa...
I shall attempt in what follows to show how mereology, taken together with certain topological notio...
This paper will first introduce first-order mereotopological axioms and axiomatized theories which c...
Considering topology as an extension of mereology, this paper analyses topological variants of mereo...
This sketch of a perhaps future 'Elementary Theory of the Category of Mereological Sums (including M...
Mereotopology is a theory of connected parts. The existence of boundaries, as parts of everyday obje...
Much recent work aimed at providing a formal ontology for the common-sense world has emphasized the ...
The origins of mereotopology go back to the works of Leśniewski [4] on mereology and, on the other ...
Parthood is used widely in ontologies across subject domains, specified in a multitude of mereologic...