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A new topology via a topology

AIP Conference Proceedings, 2022
In this extended abstract, we modify the definition of h-open set introduced in [1] by F. Abbas who neglects that the set of all h-open sets is a topology, and we show that the union of any family of h-open subsets of X is h-open that ensures that the set of all h-open subsets of a topological space (X, τ) forms a topology which is finer than τ, where ...
Dagci, F.I., Çakallı, Hüseyin
openaire   +2 more sources

On the Topologically Invertible Elements of a Topological Algebra

Mathematical Proceedings of the Royal Irish Academy, 2007
Let \(A\) be a real or complex topological unital algebra with jointly continuous multiplication and \({\mathfrak M}(A)\) the set of all nontrivial continuous multiplicative linear functionals on \(A\). It is said that \(A\) has the quasi-Wiener property if \({\mathfrak M}(A)\) is not empty and from \(a\in A\) and \(f(a)\neq 0\) for each \(f\in ...
Arizmendi-Peimbert, Hugo   +1 more
openaire   +1 more source

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