Cardinal invariants and independence results in the poset of precompact group topologies

DOI10.1016/S0022-4049(96)00149-1zbMath0909.22003OpenAlexW1978435415MaRDI QIDQ1380060

Marco Forti, Alessandro Berarducci, Dikran Dikranjan, W. Stephen Watson

Publication date: 25 February 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00149-1

zbMATH Keywords

posetcardinal invariantindependence resultprecompact group topologies

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorial aspects of partitions of integers (05A17) Structure of general topological groups (22A05) Paths and cycles (05C38) Logical aspects of lattices and related structures (03G10) Complete lattices, completions (06B23) Complemented lattices, orthocomplemented lattices and posets (06C15) Connectivity (05C40)

Related Items (11)

Locally quasi-convex compatible topologies on a topological group ⋮ On the lattice of \(f\)-subgroups ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ Abelian group theory in Italy. ⋮ Long chains of topological group topologies. --- A continuation ⋮ On the lattice of weak topologies on the bicyclic monoid with adjoined zero ⋮ Extremal pseudocompact topological groups ⋮ Compactness and connectedness in topological groups ⋮ Extending ring topologies ⋮ Mackey groups and Mackey topologies

Cites Work

• Long chains of Hausdorff topological group topologies
• Minimal and precompact group topologies on free groups
• Preservation of products by functors close to reflectors
• Set theory. An introduction to independence proofs
• Classification theory and the number of non-isomorphic models
• Pseudocompact refinements of compact group topologies
• Chains of pseudocompact group topologies
• Counting subgroups and topological group topologies
• Stetigkeitssätze für halbeinfache Liesche Gruppen
• Pseudocompactness and uniform continuity in topological groups
• The number of non-isomorphic models of an unstable first-order theory
• The Isolated Points in the Dual of a Commutative Semi-Group
• The Number of T 2 -Precompact Group Topologies on Free Groups
• On the combinatorial principle P(c)
• Algebraic structure of pseudocompact groups
• Almost-disjoint sets the dense set problem and the partition calculus
• Abelian torsion groups with a pseudocompact group topology
• Topologies induced by groups of characters
• TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS
• Powers of regular cardinals
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Aronszajn trees and the independence of the transfer property
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