α − separable and o-topological group

A SEPARABLE NORMAL TOPOLOGICAL GROUP WHICH IS NOT LINDELijF

In 1968 Wilansky asked whether a separable normal topological group must be Lindelof. In [7] this question was answered in the negative, assuming CH, by constructing a hereditarily separable, normal group which is not Lindeliif. We give an example of a separable normal group which contains a closed subspace homeomorphic to an uncountable regular cardinal, in ZFC only. Of course we have to sacri...

Lattice of compactifications of a topological group

We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. Some properties of the compactification lattice of a topological ...

The automorphism group of separable states The automorphism group of separable states in quantum information theory

The automorphism group of separable states in quantum information theory Shmuel Friedland, a) Chi-Kwong Li, b) Yiu-Tung Poon, c) and Nung-Sing Sze d) Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA Department of Mathematics, College of William & Mary, Williamsburg, VA 23187-8795, USA Department of Mathematics, Iowa...

Orthopositronium lifetime : analytic results in O ( α ) and O ( α 3 ln α )

We present the O(α) and O(α ln α) corrections to the total decay width of orthopositronium in closed analytic form, in terms of basic transcendental numbers, which can be evaluated numerically to arbitrary precision. PACS numbers: 12.20.Ds, 31.30.J-, 36.10.Dr ∗On leave of absence from Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna (Moscow region), Russia.

T ∆(B−V)I ∆α ∆(B−V)O ∆α ∆(B−R)I ∆α ∆(B−R)O ∆α ∆(V −R)I ∆α ∆(V −R)O ∆α Break

$gamma_{_mu}$-Lindel"{o}f generalized topological spaces

‎In this paper we have introduced new types of sets termed as $omega_{_{gamma_{_mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $gamma_{_mu}$-Lindel"{o}f spaces and discussed some of its basic properties‎.