An example oî a topological group* UJ••*}"> Page 1 ROCZNIKÏ POLSKIEGO TOWARZYSTWA
MATEMATYCZNE GO Séria I: PEACE MATEMAT Y CZNE XV (1971) ANNALES SOCIETATIS …

We define a variety V, of topological groups to be a family of topological groups closed
under cartesian products, quotient groups and subgroups. The class of groups, which with …

This paper has features of mixed nature. It contains new results, in particular, on
semitopological groups. We also pose some problems, introduce new definitions and …

This paper has features of mixed nature. It contains new results, in particular, on
semitopological groups. We also pose some problems, introduce new definitions and …

Let (G,∗) be a group and τ be a topology on G. Let τα={A⊆ G: A⊆ Int (Cl (Int (A)))}, g∗ τ={g∗
A: A∈ τ} for g∈ G. In this paper, we establish two relations between G and τ under which it …

In this seminar we will discuss infinite-dimensional topologi-cal groups. We will do this
mainly in the spirit of Hilbert's fifth problem-In 1900 Hilbert asked among other questions the …

The first one arose in a discussion with Franklin. We answer it in the affirmative. The second
is reported to have been solved by Arhangelskii in the affirmative. But we could not have …

Recently several papers on varieties of topological groups and varieties of locally convex
spaces have appeared.(We include a somewhat complete bibliography.) This paper …

EXPLORATORY RESULTS ON FINITE TOPOLOGICAL GROUPS Page 1 JP Journal of
Geometry and Topology © 2020 Pushpa Publishing House, Prayagraj, India http://www.pphmj.com …

!• Notation. 0 is the empty set. For any set X we denote by jXl the cardinality of X, by ty
(X):«{..., M,•..] the powerset of X and tjy ef (X): mg,£^(X) J i «{..., ft,•••). Let bij (X, Y):.=(f: X-» Y| f …