8 citations · 25 across the 17 of their papers we have counts for
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math.GN2021
The Covering Dimension of the Sorgenfrey Plane
Ol'ga Sipacheva
It is proved that the square of the Sorgenfrey line has infinite covering dimension.
math.GN2021
On the cardinality of Extremally Disconnected Groups with Linear Topology
Ol'ga Sipacheva
A group topology is said to be linear if open subgroups form a base of neighborhoods of the identity element. It is proved that the existence of a nondiscrete extremally disconnect…
math.GN2021
Extremally Disconnected Groups of Measurable Cardinality
Ol'ga Sipacheva
Given an arbitrary measurable cardinal , a nondiscrete Hausdorff extremally disconnected topological group of cardinality is constructed.