Results 71 to 80 of about 57,146 (152)

On the Mackey problem for free abelian topological groups

open access: yes, 2018
Recently Au enhofer and the author independently have shown that the free abelian topological group $A(\mathbf{s})$ over a convergent sequence $\mathbf{s}$ does not admit the strongest compatible locally quasi-convex group topology that gives the first example of a locally quasi-convex abelian group without a Mackey group topology.
openaire   +2 more sources

A group topology on the free abelian group of cardinality c that makes its finite powers countably compact

open access: yesTopology and its Applications, 2015
\textit{P. R. Halmos} [Bull. Am. Math. Soc. 50, 877--878 (1944; Zbl 0061.04404)] raised interest in the problem of characterizing those abelian groups which can be made into compact (Hausdorff) topological groups. In the case of infinite free abelian groups, the answer is well-known to be negative; however, there is interest in the problem of endowing ...
openaire   +1 more source

The $k$-spaces property of free Abelian topological groups over non-metrizable La\v{s}nev spaces

open access: yes, 2016
Given a Tychonoff space $X$, let $A(X)$ be the free Abelian topological group over $X$ in the sense of Markov. For every $n\in\mathbb{N}$, let $A_n(X)$ denote the subspace of $A(X)$ that consists of words of reduced length at most $n$ with respect to the free basis $X$.
Lin, Fucai, Liu, Chuan
openaire   +1 more source

Half-integer thermal conductance in integer quantum Hall states. [PDF]

open access: yesNat Commun
Roy U   +8 more
europepmc   +1 more source

Revealing the topological nature of entangled orbital angular momentum states of light. [PDF]

open access: yesNat Commun
de Mello Koch R   +5 more
europepmc   +1 more source

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