Quotients of zero-dimensional precompact abelian groups

DOI10.1016/S0166-8641(97)00128-4zbMath0973.54033MaRDI QIDQ1295278

Dikran Dikranjan

Publication date: 29 November 2001

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

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Connected and locally connected spaces (general aspects) (54D05) Dimension theory in general topology (54F45)

Related Items

Countably compact groups having minimal infinite powers ⋮ Varieties generated by countably compact Abelian groups ⋮ Torsion theories and Galois coverings of topological groups ⋮ Some aspects of dimension theory for topological groups ⋮ Abelian group theory in Italy. ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ Compactness and connectedness in topological groups

Cites Work

• Factorization theorems for topological groups and their applications
• Imbeddings into topological groups preserving dimensions
• On subgroups of minimal topological groups
• A universal topological group with countable base
• On the product of two (totally) minimal topological groups and the three- space-problem
• Zero-dimensional groups and factorization of homomorphisms with respect to weight and dimension
• Some minimal group topologies are precompact
• A problem of coincidence of dimensions in topological groups
• Compactness and connectedness in topological groups
• Categorically compact topological groups
• Representing spaces as images of zero-dimensional spaces
• Products of minimal abelian groups
• Factorization of mappings of topological spaces and homomorphisms of topological groups in accordance with weight and dimension \(\text{ind}\)
• Minimal topological groups
• Pseudocompactness and uniform continuity in topological groups
• On the dimension of homogeneous spaces
• Classes of topological groups
• Pseudocompact and Countably Compact Abelian Groups: Cartesian Products and Minimality
• Zero-Dimensionality of Some Pseudocompact Groups
• Σ-spaces
• A zero-dimensional topological group with a one-dimensional factor group
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