An extension of Pontryagin duality

DOI10.1017/S0004972700008972zbMath0395.18002OpenAlexW2025392366MaRDI QIDQ4177740

Brian J. Day

Publication date: 1978

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700008972

zbMATH Keywords

continuous convergencesymmetric monoidal closed categorycharacter groupslimit-space abelian groupslocally compact Hausdorff abelian groupspontryagin duality

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) General properties and structure of locally compact groups (22D05) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) General properties and structure of LCA groups (22B05) Preadditive, additive categories (18E05) Topological and differentiable algebraic systems (22A99)

Related Items (2)

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Cites Work

• Unnamed Item
• Categories with convergence, exponential functors, and the cohomology of compact abelian groups
• A reflection theorem for closed categories
• Extensions of the Pontrjagin duality. II: Direct and inverse sequences
• On closed categories of functors
• Localization at Injectives in Complete Categories

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