Results 1 to 10 of about 14 (14)

Some Analogues of Topological Groups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
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 follows that g ∗ τ ⊆ τα and g ∗ τα ⊆ τα, designate them by ...
Ram Madhu
doaj   +1 more source

Balanced and functionally balanced P-groups

open access: yesTopological Algebra and its Applications, 2018
In relation to Itzkowitz’s problem [5], we show that a c-bounded P-group is balanced if and only if it is functionally balanced.We prove that for an arbitrary P-group, being functionally balanced is equivalent to being strongly functionally balanced.
Shlossberg Menachem
doaj   +1 more source

CONTINUITY OF UNIVERSALLY MEASURABLE HOMOMORPHISMS

open access: yesForum of Mathematics, Pi, 2019
Answering a longstanding problem originating in Christensen’s seminal work on Haar null sets [Math. Scand. 28 (1971), 124–128; Israel J. Math. 13 (1972), 255–260; Topology and Borel Structure.
CHRISTIAN ROSENDAL
doaj   +1 more source

Semi-quotient mappings and spaces

open access: yesOpen Mathematics, 2016
In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups.
Khan Moiz ud Din   +2 more
doaj   +1 more source

Rough quotient in topological rough sets

open access: yesOpen Mathematics, 2019
In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results.
Alharbi Nof   +3 more
doaj   +1 more source

Group reflection and precompact paratopological groups

open access: yesTopological Algebra and its Applications, 2013
Tkachenko Mikhail
doaj   +1 more source

On the extent of star countable spaces

open access: yesOpen Mathematics, 2011
Alas Ofelia   +4 more
doaj   +1 more source

Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

open access: yesTopological Algebra and its Applications, 2013
Banakh Taras, Guran Igor
doaj   +1 more source

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