scholarly journals Spectral representations of topological groups and near-openly generated groups

2020 ◽  
Vol 211 (2) ◽  
pp. 258-274
Author(s):  
V. M. Valov ◽  
K. L. Kozlov
Keyword(s):  
Topological Groups ◽  
Spectral Representations

SOME PROPERTIES OF G-SPACES ACTED WITH TOPOLOGICAL GROUPS

2020 ◽  
Vol 9 (7) ◽  
pp. 4917-4922
Author(s):  
S. Sivakumar ◽  
D. Lohanayaki
Keyword(s):  
Topological Groups

Homomorphisms of topological groups that cannot be factorized by weight and dimension

1987 ◽  
Vol 41 (3) ◽  
pp. 226-228
Author(s):  
V. G. Pestov
Keyword(s):  
Topological Groups

scholarly journals CONTINUITY OF MEASURABLE HOMOMORPHISMS

2008 ◽  
Vol 78 (1) ◽  
pp. 171-176 ◽  
Author(s):  
JANUSZ BRZDȨK
Keyword(s):  
Topological Group ◽  
Abelian Group ◽  
Baire Property ◽  
Topological Groups ◽  
Locally Compact ◽  
Compact Topological Group ◽  
Locally Compact Topological Group

AbstractWe give some general results concerning continuity of measurable homomorphisms of topological groups. As a consequence we show that a Christensen measurable homomorphism of a Polish abelian group into a locally compact topological group is continuous. We also obtain similar results for the universally measurable homomorphisms and the homomorphisms that have the Baire property.

On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups

2003 ◽  
Vol 10 (2) ◽  
pp. 209-222
Author(s):  
I. Bakhia
Keyword(s):  
Wide Class ◽  
Sufficient Conditions ◽  
Topological Spaces ◽  
Topological Groups ◽  
Compact Spaces ◽  
Topological Semigroups

Abstract Functions of dimension modulo a (rather wide) class of spaces are considered and the conditions are found, under which the dimension of the product of spaces modulo these classes is equal to zero. Based on these results, the sufficient conditions are established, under which spaces of free topological semigroups (in the sense of Marxen) and spaces of free topological groups (in the sense of Markov and Graev) are zero-dimensional modulo classes of compact spaces.

scholarly journals Opacity from Loops in AdS

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Alexandria Costantino ◽  
Sylvain Fichet
Keyword(s):  
Imaginary Part ◽  
Quantum Dynamics ◽  
Model Building ◽  
Asymptotic Properties ◽  
The Self ◽  
Effective Theory ◽  
Self Energy ◽  
Higher Dimensional ◽  
Timelike Region ◽  
Spectral Representations

Abstract We investigate how quantum dynamics affects the propagation of a scalar field in Lorentzian AdS. We work in momentum space, in which the propagator admits two spectral representations (denoted “conformal” and “momentum”) in addition to a closed-form one, and all have a simple split structure. Focusing on scalar bubbles, we compute the imaginary part of the self-energy ImΠ in the three representations, which involves the evaluation of seemingly very different objects. We explicitly prove their equivalence in any dimension, and derive some elementary and asymptotic properties of ImΠ.Using a WKB-like approach in the timelike region, we evaluate the propagator dressed with the imaginary part of the self-energy. We find that the dressing from loops exponentially dampens the propagator when one of the endpoints is in the IR region, rendering this region opaque to propagation. This suppression may have implications for field-theoretical model-building in AdS. We argue that in the effective theory (EFT) paradigm, opacity of the IR region induced by higher dimensional operators censors the region of EFT breakdown. This confirms earlier expectations from the literature. Specializing to AdS5, we determine a universal contribution to opacity from gravity.

-topological groups and its level L-topological groups

2007 ◽  
Vol 158 (13) ◽  
pp. 1504-1510 ◽  
Author(s):  
Hua-peng Zhang ◽  
Jin-xuan Fang
Keyword(s):  
Topological Groups

On the immersion of topological semigroups in topological groups

1969 ◽  
Vol 6 (4) ◽  
pp. 697-701
Author(s):  
L. B. Shneperman
Keyword(s):  
Topological Groups ◽  
Topological Semigroups

Free topological groups and principal fiber bundles

1975 ◽  
Vol 42 (1) ◽  
pp. 83-90 ◽  
Author(s):  
Elyahu Katz
Keyword(s):  
Fiber Bundles ◽  
Topological Groups ◽  
Principal Fiber Bundles

scholarly journals Density in locally compact topological groups

2014 ◽  
Vol 165 ◽  
pp. 26-38 ◽  
Author(s):  
Mohammad Akbari tootkaboni ◽  
Zeinab Eslami
Keyword(s):  
Topological Groups ◽  
Locally Compact ◽  
Locally Compact Topological Groups

Pseudocompact topological groups and their properties

1989 ◽  
Vol 30 (1) ◽  
pp. 120-128 ◽  
Author(s):  
M. G. Tkachenko
Keyword(s):  
Topological Groups
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