On cardinal numbers related with a compact abelian group

DOI10.3792/pia/1195573431zbMath0063.03104OpenAlexW2090746871MaRDI QIDQ5843840

Shizuo Kakutani

Publication date: 1943

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pia/1195573431

Related Items (21)

On thick subgroups of uncountable \(\sigma \)-compact locally compact commutative groups ⋮ Note on Linearly Compact Abelian Groups ⋮ Counting compact group topologies ⋮ On topologies on the group \((\mathbb{Z}_p)^{\mathbb{N}}\) ⋮ Van der Waerden rings ⋮ On the Measure-Theoretic Character of an Invariant Mean ⋮ Uniform Distribution in Locally Compact Abelian Groups ⋮ Extensions of Haar measure for compact connected Abelian groups ⋮ Countable powers of compact abelian groups in the uniform topology and cardinality of their dual groups ⋮ On character groups of discrete abelian groups ⋮ Concerning connected, pseudocompact Abelian groups ⋮ On closed subgroups of precompact groups ⋮ Functorial topologies and finite-index subgroups of Abelian groups ⋮ Long chains of topological group topologies. --- A continuation ⋮ Unnamed Item ⋮ Forcing hereditarily separable compact-like group topologies on Abelian groups ⋮ Density character in topological groups ⋮ Characters of locally compact abelian groups ⋮ Long chains of Hausdorff topological group topologies ⋮ Random maximal isotropic subspaces and Selmer groups ⋮ Extending ring topologies

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