QUÉ SIGNIFICA TOPOLOGICAL GROUP EN INGLÉS
Grupo topológico
En matemáticas, un grupo topológico es un grupo G junto con una topología en G tal que la operación binaria del grupo y la función inversa del grupo son funciones continuas con respecto a la topología. Un grupo topológico es un objeto matemático con una estructura algebraica y una estructura topológica. Así, uno puede realizar operaciones algebraicas, debido a la estructura del grupo, y uno puede hablar de funciones continuas, debido a la topología. Los grupos topológicos, junto con las acciones de grupo continuas, se utilizan para estudiar simetrías continuas, que tienen muchas aplicaciones, por ejemplo en física.
definición de topological group en el diccionario inglés
La definición de grupo topológico en el diccionario es un grupo, como el conjunto de todos los números reales, que constituye un espacio topológico y en el que la multiplicación y la inversión son continuas.
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10 LIBROS DEL INGLÉS RELACIONADOS CON «TOPOLOGICAL GROUP»
Descubre el uso de
topological group en la siguiente selección bibliográfica. Libros relacionados con
topological group y pequeños extractos de los mismos para contextualizar su uso en la literatura.
1
General Topology: Chapters 1-4
SUBGROUPS AND QUOTIENT GROUPS OF A QUOTIENT GROUP § 2-7
Whenever in the sequel we consider a quotient group G/H of a topo- logical
group G as a topological group, it is always to be understood that the topology of
G/H is the ...
If G is a topological group and geG, and U is any neighborhood of g, then there is
a symmetric neighborhood Vof e such that VgV~ 1 c U. □ 15.9. Proposition. If G
is a topological group and U is any neighborhood of e and n is any positive ...
3
Topological Vector Spaces, Second Edition
A consequence of this result is that once we know the neighborhood filter of 0, we
know the neighborhood filter V(.v) at any point .v: V(.x) = {.v + V : V G V(0)}. (3. 1 .
4) U + U C V In a topological group each V G V(0) contains at/G V(0) such that ...
Lawrence Narici, Edward Beckenstein,
1985
The multiplicative group R+ of the positive real numbers is an open subgroup of
R* and a topological group. The complex numbers of norm 1 are a compact
topological group S 1 with respect to multiplication. The exponential function exp:
R ...
5
Introduction to
Topological Manifolds
A topological group is a group G endowed with a topology such that the maps m:
G X G —> G and i: G —> G given by m(€1.g2)Iglg2, i(g)Ig_1 are continuous,
where the product and inverse are those of the group structure of G. (Of course, ...
6
Handbook of the History of General Topology
topological group is a quotient of a closed subgroup of the free topological group
F(M) for an appropriate metrizable space X [MNPS]. If, however, K is a real-
measurable cardinal, then the symmetric group S(K) of all permutations of K with
the ...
C.E. Aull, R. Lowen,
2001
7
Encyclopaedia of Mathematics
LOCAL
TOPOLOGICAL GROUP \z \<a tends to z=0 in one direction, and leaves |
z | <a in the other direction. Both the modulus and the argument of z vary
monotonically on the image of the trajectory in | z \ <a. Each image of a trajectory
twists ...
8
Introduction to General Topology
Still we study topologic:•.1 groups mainly to illustrate how the introduction of an
algebraic structure on a space affects and enriches its topological properties. As
the name implies, a topological group is a topological space whose underlying
set ...
9
Topological Methods in Hydrodynamics
The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
Vladimir Igorevich Arnolʹd,
1998
10
The Structure of Compact Groups: A Primer for the Student, a ...
(i) A topological group is a group G together with a topology such that
multiplication (x,y) → xy:G × G → G and inversion x → x−1:G → G are continuous
functions. (ii) A compact group is a topological group whose topology is compact
Haus- ...
Karl Heinrich Hofmann, Sidney A. Morris,
2006