Granirer, On invariant mean on topological semigroups and on

topological groups Pacific J.

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 [3] 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.

Topological Groups: An Introduction provides a self-contained presentation with an emphasis on important families of

topological groups.

Motivated by results of [1] and [2], 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 [1] 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.