Monadic functors forgetful of (dis)inhibited actions

MaRDI QIDQ6634620

Alexandru Chirvasitu

Publication date: 8 November 2024

Published in: Theory and Applications of Categories (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) General theory of group and pseudogroup actions (22F05) Enriched categories (over closed or monoidal categories) (18D20)

Cites Work

• Not every pseudoalgebra is equivalent to a strict one
• Abelian categories of modules over a (lax) monoidal functor
• The cocompleteness of the category \(\text{Tych}^G\)
• Maximal equivariant compactification of the Urysohn spaces and other metric structures
• A topological transformation group without non-trivial equivariant compactifications
• Free \(G\)-spaces and maximal equivariant compactifications
• Local compactness and Cartesian products of quotient maps and k-spaces
• Kan extensions in enriched category theory
• Maximal equivariant compactifications
• Category theory in context
• Physics, Topology, Logic and Computation: A Rosetta Stone
• A TikhonovG-space not admitting a compact HausdorffG-extension orG-linearization
• Continuous Lattices and Domains
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