Uniform free topological groups and Samuel compactifications

DOI10.1016/0166-8641(82)90009-8zbMath0471.22001OpenAlexW1997161885MaRDI QIDQ1157416

Eric C. Nummela

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90009-8

zbMATH Keywords

uniform spacesSamuel compactificationuniform free topological group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Uniform structures and generalizations (54E15)

Related Items (18)

Universal arrows to forgetful functors from categories of topological algebra ⋮ Embeddings of biuniform spaces into topological groups ⋮ Algebraic objects generated by topological structure ⋮ On group uniformities on the square of a space and extending pseudometrics ⋮ On group uniformities on square of a space and extending pseudometrics II ⋮ Free quasitopological groups ⋮ Local invariance of free topological groups ⋮ Imbeddings into topological groups preserving dimensions ⋮ The Dieudonné \(\tau\)-complete spaces and free topological groups of uniform spaces ⋮ Zero-dimensional groups and factorization of homomorphisms with respect to weight and dimension ⋮ Balanced and functionally balanced \(P\)-groups ⋮ On applying uniform structures to study of free topological algebras ⋮ Weakly complete free topological groups ⋮ How Topological are Topological Groups? ⋮ Sequential completeness of quotient groups ⋮ Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space ⋮ On topologies of free groups ⋮ Local compactness in free topological groups

Cites Work

• The completion of a topological group
• Embedding the Free Group F(X) into F(βX)
• Applications of the Stone-Cech Compactification to Free Topological Groups
• On constructive functions
• Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group
• On universal mappings and free topological groups
• Ultrafilters and Compactification of Uniform Spaces
• Free topological groups and infinite direct product topological groups
• Note on free topological groups
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