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NATURAL TOPOLOGIES ON COLOMBEAU ALGEBRAS
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2009)
We define intrinsic, natural and metrizable topologies T(Omega), T, T(s,Omega) and T(s) in G(Omega), (K) over bar, G(s)(Omega) and (K) over bar (s) respectively. The topology T(Omega) induces T, T(s,Omega) and T(s). The ...
Applications of Computational Algebraic Topology
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas, 2016-07-01)
In this note a course given at the "UN Encuentro de Matemáticas 2016" held in Bogotá (Colombia) is described. The course was divided into four parts, devoted, respectively, to basic denitions in Algebraic Topology, to the ...
Spectral-like duality for distributive Hilbert algebras with infimum
(Springer, 2017-10)
Distributive Hilbert algebras with infimum, or DH^-algebras for short, are algebras with implication and conjunction, in which the implication and the conjunction do not necessarily satisfy the residuation law. These ...
ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS
(CAMBRIDGE UNIV PRESS, 2008)
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started ...
Tempered generalized functions and Hermite expansions
(Pergamon-elsevier Science LtdOxfordInglaterra, 2011)
Evolution of probability measures by cellular automata on algebraic topological Markov chains
(Sociedad de Biología de Chile, 2003)
MV-closures of Wajsberg hoops and applications
(Springer, 2010-04)
In this paper we construct, given a Wajsberg hoop A, an MV-algebra MV(A) such that the underlying set A of A is a maximal filter of MV(A) and the quotient MV(A)/A is the two element chain. As an application we provide a ...
DGLA Dg and BV formalism
(Springer, 2020-12-11)
Differrential Graded Lie Algebra Dg was previously introduced in the context of current algebras. We show that under some conditions, the problem of constructing equivariantly closed form from closed invariant form is ...
ON TWO-DIMENSIONAL QUASITOPOLOGICAL FIELD THEORIES
(WORLD SCIENTIFIC PUBL CO PTE LTDSingapura, 2009)
We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semisimple Hopf algebras. ...
Exotic dark spinor fields
(Springer, 2011-04-01)
Exotic dark spinor fields are introduced and investigated in the context of inequivalent spin structures on arbitrary curved spacetimes, which induces an additional term on the associated Dirac operator, related to a Cech ...