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Constructive Algebraic Topology [PDF]
Bulletin Des Sciences Mathematiques, 2002 The classical ``computation'' methods in Algebraic Topology most often work by means of highly infinite objects and in fact +are_not+ constructive. Typical examples are shown to describe the nature of the problem. The Rubio-Sergeraert solution for Constructive Algebraic Topology is recalled.
Julio Rubio, Francis Sergeraert
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Combinatorial Algebraic Topology
Algorithms and Computation in Mathematics, 2008Dmitry Feichtner-Kozlov
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Topologically Algebraic Algebras
Mediterranean Journal of Mathematics, 2004Let \(A\) be a complex topological algebra and \(H(\mathbb{C})\) the algebra of all complex-valued entire functions. An element \(x\) in \(A\) is said to be topologically algebraic if all entire functions operate in \(A\) at the point \(x\) and if there exists a nonzero entire function \(f\) in \(H(\mathbb{C})\) such that \(f(x)=0\).
Choukri, Rachid, Attioui, Abdelbaki
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HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS
Bulletin of the Australian Mathematical Society, 2014AbstractLet$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}K$be a locally compact hypergroup endowed with a left Haar measure and let$L^1(K)$be the usual Lebesgue space of$K$with respect ...
Maghsoudi, S., Seoane-Sepúlveda, J. B.
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On the Topologically Invertible Elements of a Topological Algebra
Mathematical Proceedings of the Royal Irish Academy, 2007Let \(A\) 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
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Fuzzy Sets and Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omid Zahiri, Rajab Ali Borzooei
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omid Zahiri, Rajab Ali Borzooei
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Stable Algebraic Topology and Stable Topological Algebra
Bulletin of the London Mathematical Society, 1998The article is essentially the text of a lecture held at the London Mathematical Society. The author gives an overview of the history of stable algebraic topology since the early 1960's.
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Filter topologies and topological MV-algebras
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Luan, Hans Weber 0002, Yichuan Yang
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Information Sciences, 1999
Topological BCI-algebras are characterized in terms of neighborhoods. It is proved that a topological BCI-algebra is Hausdorff iff \(\{0\}\) is closed. A filter base generating a BCI-topology is described.
Young Bae Jun +2 more
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Topological BCI-algebras are characterized in terms of neighborhoods. It is proved that a topological BCI-algebra is Hausdorff iff \(\{0\}\) is closed. A filter base generating a BCI-topology is described.
Young Bae Jun +2 more
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