Free compact groups. I: Free compact abelian groups

DOI10.1016/0166-8641(86)90016-7zbMath0589.22003OpenAlexW2059387860MaRDI QIDQ1073926

Sidney A. Morris, Karl Heinrich Hofmann

Publication date: 1986

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90016-7

zbMATH Keywords

weightAlexander-Spanier cohomologycompact spacesfree compact abelian groupsisomorphic free abelian topological groupsprojective resolutionPrüfer group

Mathematics Subject Classification ID

Compact groups (22C05) ?ech types (55N05) General properties and structure of LCA groups (22B05) Abelian groups (20K99)

Related Items (10)

Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups ⋮ Generators on the arc component of compact connected groups ⋮ Free compact groups. II: The center ⋮ Universal arrows to forgetful functors from categories of topological algebra ⋮ On the existence of free topological groups ⋮ Algebraic objects generated by topological structure ⋮ Fréchet-Urysohn fans in free topological groups ⋮ Characterizing group C*-algebras through their unitary groups: the Abelian case ⋮ Group-valued continuous functions with the topology of pointwise convergence ⋮ Correction to ``Free compact groups. I: Free compact abelian groups

Cites Work

• Homotopical cohomology and Čech cohomology
• Idempotente Multiplikationen
• L'homotopie des groupes abeliens localement compacts
• RELATIONS AMONG THE INVARIANTS OF TOPOLOGICAL GROUPS AND THEIR SUBSPACES
• Free Topological Groups and Dimension
• Homotopy Groups of Compact Abelian Groups
• A Space for Which H 1 (X; Z) \not≈[ X, S ]
• The cohomology of compact abelian groups
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