Results 11 to 20 of about 330 (29)

On separability of the functional space with the open-point and bi-point-open topologies [PDF]

, 2016
In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.Comment: 10 ...
Osipov, Alexander V.
core   +2 more sources

On extension functions for image space with different separation axioms [PDF]

, 2016
In this paper we study a sufficient conditions for continuous and almost continuous extensions of f to space X for an image space Y with different separation axioms.Comment: 11 ...
Osipov, Alexander V.
core   +2 more sources

T‐neighborhood groups

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 703-719, 2004., 2004
We generalize min‐neighborhood groups to arbitrary T‐neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min‐neighborhood groups due to T. M. G. Ahsanullah. We show that every T‐neighborhood group is T‐uniformizable, therefore, T‐completely regular.
T. M. G. Ahsanullah, Fawzi Al-Thukair
wiley   +1 more source

The Steinhaus property and Haar-null sets [PDF]

, 2010
It is shown that if $G$ is an uncountable Polish group and $A\subseteq G$ is a universally measurable set such that $A^{-1}A$ is meager, then the set $T_l(A)=\{\mu\in P(G): \mu(gA)=0 \text{for all} g\in G\}$ is co-meager.
Dodos, Pandelis
core   +1 more source

On sequential separability of functional spaces [PDF]

, 2016
In this paper, we give necessary and sufficient conditions for the space B_1(X) of first Baire class functions on a Tychonoff space X, with pointwise topology, to be (strongly) sequentially separable.Comment: 8 ...
Osipov, Alexander V., Pytkeev, Evgenii G.   +1 more
core   +1 more source

Monotone-light factorisation systems and torsion theories [PDF]

, 2013
Given a torsion theory (Y,X) in an abelian category C, the reflector I from C to the torsion-free subcategory X induces a reflective factorisation system (E, M) on C. It was shown by A. Carboni, G.M. Kelly, G. Janelidze and R.
Everaert, Tomas, Gran, Marino
core   +1 more source

Abelian pro-countable groups and non-Borel orbit equivalence relations [PDF]

, 2016
We study topological groups that can be defined as Polish, pro-countable abelian groups, as non-archimedean abelian groups or as quasi-countable abelian groups, i.e., Polish subdirect products of countable, discrete groups, endowed with the product ...
Malicki, Maciej
core   +1 more source

An Open Mapping Theorem

, 2015
It is proved that any surjective morphism $f: \mathbb{Z}^\kappa \to K$ onto a locally compact group $K$ is open for every cardinal $\kappa$.
Gabriyelyan, S. S., Morris, S. A.
core   +1 more source

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 closed embeddings of free topological algebras [PDF]

, 2012
Let $\mathcal K$ be a complete quasivariety of completely regular universal topological algebras of continuous signature $\mathcal E$ (which means that $\mathcal K$ is closed under taking subalgebras, Cartesian products, and includes all completely ...
Banakh, T., Hryniv, O.
core