## 5 Citations

### Topological groups whose closed subgroups are separable, and the product operation

- MathematicsTopology and its Applications
- 2019

### The separable quotient problem for topological groups

- MathematicsIsrael Journal of Mathematics
- 2019

The famous Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient Banach space, has remained unsolved for 85 years, though it has…

### Separability of Topological Groups: A Survey with Open Problems

- MathematicsAxioms
- 2019

The property of separability of topological groups is examined in the context of taking subgroups, finite or infinite products, and quotient homomorphisms.

### M-factorizability of products and τ-fine topological groups

- MathematicsTopology and its Applications
- 2021

## References

SHOWING 1-10 OF 20 REFERENCES

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- Mathematics
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In 1983 P. Domański investigated the question: For which separable topological vector spaces E, does the separable space have a nonseparable closed vector subspace, where $$\hbox {c}$$c is the…

### Density character of subgroups of topological groups

- Mathematics
- 2015

A subspace Y of a separable metrizable space X is separable, but without X metrizable this is not true even If Y is a closed linear subspace of a topological vector space X. K.H. Hofmann and S.A.…

### On separability in linear topological spaces

- Mathematics
- 1974

This paper contains (1) an example of a separable linear topological space with a closed nonseparable linear subspace, and (2) a proof of the fact that every metrizable subspace of a separable linear…

### Topological Groups and Related Structures

- Mathematics
- 2008

[i]Topological Groups and Related Structures[/i] provides an extensive overview of techniques and results in the topological theory of topological groups. This overview goes sufficiently deep and is…

### The notion of o-tightness and C-embedded subspaces of products

- Mathematics, Computer Science
- 1983

### Pontryagin Duality and the Structure of Locally Compact Abelian Groups

- Mathematics
- 1977

1. Introduction to topological groups 2. Subgroups and quotient groups of Rn 3. Uniform spaces and dual groups 4. Introduction to the Pontryagin-van Kampen duality theorem 5. Duality for compact and…