Granirer, On invariant mean on topological semigroups and on topological groups
If we set S := G x T, where G is an abelian topological group
, then S is a reflexive foundation semigroup and again by Theorem 4.
Keywords: Semi open set, semi closed set, irresolute mapping, semi homeomorphism, irresolute topological group
, semi connected space, semi component, semi topological groups
with respect to irresoluteness.
Lacunary statistical convergence in topological groups
1997  investigated the continuity of the probabilistic norm; they pointed out that each PN space is a topological group
but may not be a topological vector space.
Thorpe, On summability in topological groups
and a theorem of D.
: An Introduction provides a self-contained presentation with an emphasis on important families of topological groups
Motivated by results of  and , we introduce in this note another notion of "independence" between representations of a topological group
and prove that under some suitable conditions, representations of the absolute Galois group of a number field associated with two elliptic curves are "independent" in this sense.
Similar results are obtained in  for (symmetric) continuous cohomology of topological groups
, denoted (H[S.
They cover Lebesgue measure in Euclidean space, measures on metric spaces, topological groups
, Banach and measure, compact groups have a Haar measure, applications, Haar measure on locally compact groups, metric invariance and Haar measure, Steinlage on Haar measure, and Oxtoby's view of Haar measure.
A theorem on functional Alexandroff topological groups
The 64 papers in this collection explore field theory and polynomials, commutative rings and algebras, matrix theory, associative rings, K-theory, group theory and generalizations, topological groups
, Lie groups, and differential geometry.