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This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.

General Topology · Mathematics 2007-05-23 A. N. Dranishnikov

We consider an extension of Weyl geometry with the most general connection linearly determined by a vector field. We discuss some of the geometrical properties within this framework and then we construct gravitational theories leading to an…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Jose Beltran Jimenez

We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with finitely axiomatizable theories and minimal generating sets of…

Logic · Mathematics 2019-01-28 Sergey Sudoplatov

The quark matter may have great implications in astrophysical studies, which could appear in the early Universe, in compact stars, and/or as cosmic rays. After a general review of astrophysical quark matter, the density-dominated quark…

Astrophysics · Physics 2014-10-13 R. X. Xu

This is a review of the physics and cosmology of the cosmological constant. Focusing on recent developments, I present a pedagogical overview of cosmology in the presence of a cosmological constant, observational constraints on its…

Astrophysics · Physics 2015-06-24 Sean M. Carroll

Some comments are made on the matrices which serve as the basis of a quaternionic algebra. We show that these matrices are related with the quaternionic action of the imaginary units from the left and from the right.

Rings and Algebras · Mathematics 2007-05-23 Gisele Ducati

This article gives a brief overview of the status of attempts to constrain inflation using observations, and examines prospects for future developments.

Astrophysics · Physics 2007-05-23 Andrew R Liddle

This set of lectures provides an overview of the basic theory and phenomenology of the cosmic microwave background. Topics include a brief historical review; the physics of temperature and polarization fluctuations; acoustic oscillations of…

Astrophysics · Physics 2007-05-23 Arthur Kosowsky

We give an overview of the status of string cosmology. We explain the motivation for the subject, outline the main problems, and assess some of the proposed solutions. Our focus is on those aspects of cosmology that benefit from the…

High Energy Physics - Theory · Physics 2008-11-26 Liam McAllister , Eva Silverstein

Cosmology provides a unique and very powerful laboratory for testing neutrino physics. Here, I review the current status of cosmological neutrino measurements. Future prospects are also discussed, with particular emphasis on the interplay…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-23 Steen Hannestad

In calculations of the probability distribution for the cosmological constant, it has been previously assumed that the a priori probability distribution is essentially constant in the very narrow range that is anthropically allowed. This…

Astrophysics · Physics 2009-10-31 Steven Weinberg

Microwave background polarization, though presently undetected, is a fundamental prediction of any viable cosmological model. These lectures review the theoretical description of polarization, its physical interpretation, and potentially…

Astrophysics · Physics 2011-04-15 Arthur Kosowsky

Cosmoparticle physics is the natural result of development of mutual relationship between cosmology and particle physics. Its prospects offer the way to study the theory of everything and the true history of the Universe, based on it, in…

Astrophysics · Physics 2007-05-23 Maxim Yu. Khlopov

An introductory account is given of the modern understanding of the physics of the early Universe. Particular emphasis is placed on the paradigm of cosmological inflation, which postulates a period of accelerated expansion during the…

Astrophysics · Physics 2008-02-03 Andrew R Liddle

We review the possible mechanisms for the generation of cosmological magnetic fields, discuss their evolution in an expanding Universe filled with the cosmic plasma and provide a critical review of the literature on the subject. We put…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 R. Durrer , A. Neronov

We shall discuss cosmological models in extended theories of gravitation. We shall define a surface, called the model surface, in the space of observable parameters which characterises families of theories. We also show how this surface can…

General Relativity and Quantum Cosmology · Physics 2016-01-21 Salvatore Capozziello , Mariafelicia F. De Laurentis , Lorenzo Fatibene , Marco Ferraris , Simon Garruto

Some discussion of physical and geometrical interpretation of Einsteins theory of gravitation which is on basic of cosmology.

General Physics · Physics 2009-11-04 S. N. Pandey , B. K. Sinha

Quantum cosmology offers a unique stage to address questions of time related to its underlying (and perhaps truly quantum dynamical) meaning as well as its origin. Some of these issues can be analyzed with a general scheme of quantum…

General Relativity and Quantum Cosmology · Physics 2012-07-25 Martin Bojowald

A short pedagogical overview of cosmological perturbation theory, following the lectures given during the brazilian school of cosmology held in August 2012. Topics treated are: I. The background II. SVT decomposition and the gauge issue.…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-15 Patrick Peter

A brief review of the present-day development of cosmology is presented for mixed physical audience. The universe history is briefly described. Unsolved problems are discussed, in particular, the mystery of the cosmological constant and…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. D. Dolgov