Categorical neighborhood operators

DOI10.1016/J.TOPOL.2011.06.031zbMath1232.54018OpenAlexW2096581485MaRDI QIDQ645199

Josef Šlapal, David Holgate

Publication date: 8 November 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.031

zbMATH Keywords

convergencecompactnesscategoryseparationclosureinterior and neighborhood operatorssubobject lattice

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

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Cites Work

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• Convergence on categories
• Neighborhoods with respect to a categorical closure operator
• Closure operators. I
• Neighborhood spaces
• Interior Operators in General Categories
• Neighborhoods and convergence with respect to a closure operator
• Categorical Closure Operators
• Closure operators with respect to a functor

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