Topological space objects in a topos. II: \(\varepsilon\)-completeness and \(\varepsilon\)-cocompleteness

DOI10.1007/BF01154279zbMath0319.18008MaRDI QIDQ1222711

Publication date: 1975

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154353

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categories in geometry and topology (18F99) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (11)

Fuzzy topologies and topological space objects in a topos ⋮ Unnamed Item ⋮ Basic structures of fuzzy topology ⋮ Editorial to the ``Special issue on fuzzy topology ⋮ A general theory of fuzzy topological spaces ⋮ Fuzzy sets and sheaves. II: Sheaf-theoretic foundations of fuzzy set theory with applications to algebra and topology ⋮ CATEGORICAL AXIOMS OF NEIGHBORHOOD SYSTEMS ⋮ Necessity of non-stratified and anti-stratified spaces in lattice-valued topology ⋮ Foundations of fuzzy sets ⋮ ON THE CONVERGENCE STRUCTURE OF L-TOPOLOGICAL SPACES AND THE CONTINUITY IN L-TOPOLOGICAL SPACES ⋮ Point-set lattice-theoretic topology

Cites Work

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