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On zero-dimensionality of subgroups of locally compact groups

Dmitriĭ B. Shakhmatov — 1991

Commentationes Mathematicae Universitatis Carolinae

Improving the recent result of the author we show that $ind H = 0$ is equivalent to $dim H = 0$ for every subgroup $H$ of a Hausdorff locally compact group $G$ .

Вложения в топологические поля и построение поля, пространство которого не нормально

Dmitriĭ B. Shakhmatov — 1983

Commentationes Mathematicae Universitatis Carolinae

Dugundji spaces and topological groups

Dmitriĭ B. Shakhmatov — 1990

Commentationes Mathematicae Universitatis Carolinae

No upper bound for cardinalities of Tychonoff C.C.C. spaces with a $G_{δ}$ -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)

Dmitriĭ B. Shakhmatov — 1984

Commentationes Mathematicae Universitatis Carolinae

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On zero-dimensionality of subgroups of locally compact groups

Вложения в топологические поля и построение поля, пространство которого не нормально

Dugundji spaces and topological groups

No upper bound for cardinalities of Tychonoff C.C.C. spaces with a G δ -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)

No upper bound for cardinalities of Tychonoff C.C.C. spaces with a $G_{δ}$ -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)