Groups of Dualities

DOI10.2307/2154383zbMath0796.18003OpenAlexW4248133086MaRDI QIDQ4039354

Georgi D. Dimov, Walter Tholen

Publication date: 25 September 1994

Full work available at URL: https://doi.org/10.2307/2154383

zbMATH Keywords

Pontryagin dualitynatural adjunctionschizophrenic objects

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Duality theorems for locally compact groups (22D35) Topological representations of algebraic systems (54H10)

Related Items

On the investigations of Ivan Prodanov in the theory of abstract spectra ⋮ A survey on reflexivity of abelian topological groups ⋮ Sobriety and spatiality in categories of lattice-valued algebras ⋮ A generalization of de Vries duality theorem ⋮ Dualities of locally compact modules over the rationals.

Cites Work

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• On the scarcity of contravariant left adjunctions
• Continuous convergence on C(X)
• Every topological category is convenient for Gelfand duality
• On an unpublished manuscript of ivan prodanov concerning locally compact modules and their dualities(^∗)
• Homogeneous and non-homogeneous duality
• Uniform Boundedness for Groups
• General Functorial Semantics, I
• A General Stone-Gelfand Duality
• More on Compact Hausdorff Spaces and Finitary Duality
• Algebra valued functors in general and tensor products in particular
• The right adjoints into the categories of relational systems
• Functorial Characterizations of Pontryagin Duality
• A general character theory for partially ordered sets and lattices

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