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Function spaces and adjoints. (English) Zbl 0309.54016

54C35 Function spaces in general topology
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18B99 Special categories
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54B99 Basic constructions in general topology
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
57S99 Topological transformation groups
06F30 Ordered topological structures
Full Text: DOI EuDML