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Grupo topológico
(Universidade Estadual Paulista (Unesp), 2011-11-10)
Neste trabalho tratamos do objeto matemático Grupo Topológico. Para este desenvolvimento, abordamos elementos básicos de Grupo e Espaço Topológico
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 ...
Zariski-type topology for implication algebras
(Wiley VCH Verlag, 2010-06)
In this work we provide a new topological representation for implication algebras in such a way that its one- point compactification is the topological space given in [1]. Some applications are given thereof.
Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
(1989-09)
The strong dual space of the topological algebra L_b(S), where S is
the Schwartz space of smooth declining functions on R, may be obtained
as an inductive limit of projective limits of Hilbert spaces. To that
end, we ...
Topics in algebraic and topological K-theory
(Springer, 2011)
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison ...
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 ...
Linguagem de categorias e o Teorema de van Kampen
(Universidade Estadual Paulista (Unesp), 2017-11-01)
Esse trabalho trata de elementos da Topologia Algébrica, a qual tem como fundamental aplicação abordar questões acerca de Espaços Topológicos sob o ponto de vista algébrico. Uma das questões é tentar responder se dois ...
Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
(1988-06-04)
The topology of the Moyal *-algebra may be defined in three ways: the
algebra may be regarded as an operator algebra over the space of
smooth declining functions either on the configuration space or on the
phase space ...
O teorema fundamental da álgebra via teoria de homotopia
(Universidade Estadual Paulista (Unesp), 2016-12-20)
O objetivo principal deste trabalho é a demonstração do Teorema Fundamental da Álgebra por meio da Teoria de Homotopia. Esta teoria é uma das mais importantes da Topologia Algébrica. Para um melhor entendimento do tema ...
Grupos de Lie compactosCompact Lie groups
([s.n.], 2011)