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TOPOLOGICAL CALCULUS: BETWEEN ALGEBRAIC TOPOLOGY AND ELECTROMAGNETIC FIELDS

Applied and Industrial Mathematics in Italy II, 2007
The Topological Calculus, based on Algebraic Topology, is introduced as a discrete Field Theory. Diagonalization of simplicial complex adjacency matrices allows to extract information about domain topology and Helmholtz equation eigenfunctions. Electromagnetic analysis of IFS fractals for Sierpinski gasket/carpet is then carried out: self-similar ...
Arrighetti, W, Gerosa, G
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CROSSED PRODUCT C*-ALGEBRAS AND ALGEBRAIC TOPOLOGY

Reviews in Mathematical Physics, 1996
We discuss some recent developments that illustrate the interplay between the theory of crossed products of continuous trace C*-algebras and algebraic topology, summarizing results relating topological invariants coming from the theory of fiber bundles to continuous trace C*-algebras and their automorphism groups and the structure of the associated ...
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Equivalence of Topologically-Algebraic and Semi-Topological Functors

Canadian Journal of Mathematics, 1980
Throughout let be faithful.1.1. A U-morphism with domain X is a pair (e, A), where e ∈ Hom (X, UA). A [U-morphism (e, A) is called U-epi ( = generating) provided that r, s ∈ Hom (A, A’) and (Ur)e = (Us)e imply that r = s.1.2. A U-source is a pair (X, (fi,Ai)I), (written more simply (X, (fi,Ai)I),, where (fi,Ai)I 7 is a family of U-morphisms each with ...
Herrlich, Horst   +3 more
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L-algebras in logic, algebra, geometry, and topology

Soft Computing, 2020
\(L\)-algebras are treated here mainly from the viewpoint of algebraic logic as algebras of kind \((A,\to,1)\) satisfying the axioms \((x \to y) \to (x \to z) = (y \to x) \to (y \to z)\) and \(x \to y = y \to x = 1 \Rightarrow x = y\), cf. [the author, J. Algebra 320, No. 6, 2328--2348 (2008; Zbl 1158.06009)].
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Topologically Spectral Algebras and One-Side Topological Radicals

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, Mati   +1 more
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Heyting* algebras, topological boolean algebras and P.O. systems

Algebra Universalis, 1987
The background to this paper is the theory of topological Boolean algebras (TBA's) developed by R. S. Pierce. TBA's are closure algebras with a unary operation which captures algebraic properties of the Cantor-Bendixson derivation. Using the notion of Heyting algebras with a unary operation, also destined to capture algebraic properties of topological ...
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Algebraic K-Theory and Algebraic Topology

1993
Preface. Conductors in the Non-separable Residue Field Case R. Boltje, G.-M. Cram, V.P. Snaith. On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields J.-L. Colliot-Thelene. Resultats de 'purete' pour les varietes lisses sur un corps fini: Appendice a l'article de J.-L. Colliot-Thelene B. Kahn.
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Topology and Boolean Algebras

1974
The material of this section is divided into four sub-sections dealing with Topology, the finitary properties of Boolean algebras, the duality of Stone between Boolean algebras and compact totally disconnected spaces, and the completion of a Boolean algebra and the (essentially dual) Gleason space of a compact space.
W. Wistar Comfort, Stylianos Negrepontis
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