On the existence of free topological groups

DOI10.1016/0166-8641(88)90024-7zbMath0649.22001OpenAlexW2121131932MaRDI QIDQ1105704

Jan van Mill, W. Wistar Comfort

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90024-7

zbMATH Keywords

free groupstopological groupsfree compact abelian groupspseudocompact groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General properties and structure of LCA groups (22B05) Topological methods for abelian groups (20K45) Topological representations of algebraic systems (54H10)

Related Items

Varieties generated by countably compact Abelian groups, Locally pseudocompact topological groups, Universal arrows to forgetful functors from categories of topological algebra, A Note on Pseudocompact Groups, Free Boolean topological groups, Non-abelian pseudocompact groups, Unnamed Item, Pseudocompact groups: Progress and problems, On zero-dimensionality and the connected component of locally pseudocompact groups, Group-valued continuous functions with the topology of pointwise convergence, Extremal pseudocompact topological groups, Sequential completeness of quotient groups, Selectively pseudocompact groups without infinite separable pseudocompact subsets, Compactness and connectedness in topological groups, Provisional solution to a Comfort--van Mill problem

Cites Work

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• Correction to ``Free compact groups. I: Free compact abelian groups
• Countably compact groups and finest totally bounded topologies
• Free compact groups. I: Free compact abelian groups
• E-kompakte Räume. (E-compact spaces)
• Pseudocompactness and uniform continuity in topological groups
• Stone-Cech Compactifications of Products
• Adjoint Functors
• Normality in Subsets of Product Spaces
• Uniform Continuity and Compactness in Topological Groups
• The Product of Two Countably Compact Topological Groups
• Varieties of topological groups a survey
• Free topological groups
• Varieties of topological groups and left adjoint functors
• Reflective Functors in General Topology and Elsewhere
• On epi-reflective hulls
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
• On universal mappings and free topological groups
• Free topological groups and infinite direct product topological groups
• Note on free topological groups