Results 31 to 40 of about 445,777 (326)

Pθ-Topological Groups in Nonstandard Analysis [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail, Ibrahim Hamad, Sami Hussein   +2 more
doaj   +1 more source

Derivative for Functions f:G→H, Where G Is a Metric Divisible Group

Mathematics, 2022
In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz, Simeón Casanova Trujillo, Fredy E. Hoyos   +2 more
doaj   +1 more source

A Study on Neutrosophic Bitopological Group [PDF]

Neutrosophic Sets and Systems, 2020
In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.
Bhimraj Basumatary, Nijwm Wary
doaj   +1 more source

Projective Topological Groups [PDF]

Proceedings of the American Mathematical Society, 1967
The notion of a projective topological group for a category of topological groups has been defined by Hofmann [4]. Free topological groups have been of interest in the study of topological groups since theirinventionby Markov [5]. It is the purpose of this paper to develop the concept of projective in the category of Abelian topological groups, based ...
openaire   +2 more sources

Fundamental groups of topological stacks with slice property [PDF]

, 2007
The main result of the paper is a formula for the fundamental group of the coarse moduli space of a topological stack. As an application, we find simple general formulas for the fundamental group of the coarse quotient of a group action on a topological ...
Armstrong, Behrang Noohi, Bredon, Brown, Grothendieck, Higgins, Nagata, Ribes, Zung   +8 more
core   +1 more source

Pseudo-Normality and Pseudo-Tychonoffness of Topological Groups

Mathematics
It is common knowledge that any topological group that satisfies the lowest separation axiom, T0, is immediately Hausdorff and completely regular; however, this is not the case for normality.
Mesfer H. Alqahtani, Hanan Al-Saadi, Eman Alluqmani, Zanyar A. Ameen   +3 more
doaj   +1 more source

On monotonic bijections on subgroups of R

Applied General Topology, 2016
We show that for any continuous monotonic  bijection $f$ on a $\sigma$-compact subgroup  $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$  is a topological group topologically isomorphic to $\langle G, +\rangle$
Raushan Buzyakova
doaj   +1 more source

Atomic topological groups

Advances in Group Theory and Applications, 2018
We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N. We show, among others, that virtually hypercentral groups have only degenerate atoms.
Dikranjan D., Khass H., Bazigaran B.
openaire   +2 more sources

On Hereditarily Normal Topological Groups

, 2012
In this paper we investigate hereditarily normal topological groups and their subspaces. We prove that every compact subspace of a hereditarily normal topological group is metrizable.
Buzyakova, Raushan
core   +1 more source

On certain groups of functions

International Journal of Mathematics and Mathematical Sciences, 1980
Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X)
J. S. Yang
doaj   +1 more source