A net-based construction of the fundamental groupoid and a groupoid Seifert-van Kampen theorem for limit spaces.
Universal Coverings for Limit and Pseudotopological Spaces
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Limit and Pseudotopological spaces are two generalizations of topological spaces which are defined by indicating what filters converge under some axioms. In this article, we introduce covering spaces and set forth some necessary conditions for a construction for a universal covering space.
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Algebraic Topology Without Open Sets: A Net Approach to Homotopy Theory in Limit Spaces
A net-based construction of the fundamental groupoid and a groupoid Seifert-van Kampen theorem for limit spaces.