8 citations · 25 across the 17 of their papers we have counts for
17 papers
No Subgroup Theorem for the Covering Dimension of Topological Groups
Ol'ga Sipacheva
A strongly zero-dimensional topological group containing a closed subgroup of positive covering dimension is constructed.
A Non--Factorizable Product of -Factorizable Groups
Ol'ga Sipacheva
An example of two -factorizable groups whose product is not -factorizable is constructed. One of these groups is second-countable and the other Lindelöf to an…
Topological Groups with Strong Disconnectedness Properties
Ol'ga Sipacheva
Topological groups whose underlying spaces are basically disconnected, -, or -spaces but not -spaces are considered. It is proved, in particular, that the existence of a…
No Product Theorem for the Covering Dimension of Topological Groups
Ol'ga Sipacheva
Two (strongly) zero-dimensional Lindelöf topological groups whose product has positive covering dimension are constructed. An example of a Lindelöf (strongly) zero-dimensional spac…
Discrete Ultrafilters and Homogeneity of Product Spaces
Anastasiya Groznova, Ol'ga Sipacheva
An ultrafilter on is said to be discrete if, given any function to any completely regular Hausdorff space, there is an such that is discre…
The Covering Dimension of the Sorgenfrey Plane
Ol'ga Sipacheva
It is proved that the square of the Sorgenfrey line has infinite covering dimension.