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Table of Contents: “...Topological Spaces in Brief -- Manifolds and Tensor Fields -- The Riemann (Intrinsic) Curvature Tensor -- Lie Derivative, Killing Fields and Hypersurfaces -- Differential Forms and Their Integrals -- Special Relativity -- Foundations of General...”

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Subject (ZB): “...Topological insulators....”

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Table of Contents: “...Invitation: gravity, point particles, and group-valued momenta -- Gravity in 2+1 dimensions as a Chern-Simons theory -- Gravity in 3+1 dimensions, particles and topological limit -- Deformed classical particles: phase space and kinematics -- Hopf algebra...”

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Table of Contents: “...: constraints on cosmology -- Deep slices and the supercluster-void network -- Testing cosmological models using the kinematics of high redshift galaxies -- Cosmological constraints from the redshift distribution of galaxy clusters -- The topology of the 2-degree...”

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Table of Contents: “... Background Anisotropies and Galaxy Clustering -- Topology of the Universe and the Cosmic Microwave Background Radiation -- Missing Parameters in the CMB Physics -- Cosmology with the S-Z Effect -- III. Large Scale Structure, Dark Matter -- The Wave Mechanics...”

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Table of Contents: “...Symmetry Breaking and Defects -- Acknowledgments -- References -- Liquid 4He and Its Superfluidity -- Acknowledgments -- References -- The Role of Topological Defects in Cosmology -- References -- Cosmic Defects and Particle Physics Constraints -- 4.3.1...”

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Table of Contents: “..., Topological Entropy, Baum-Connes Conjecture -- Observational Cosmology -- Froth across the Universe -- Cosmological Parameters -- Forming Counterrotating Galaxies -- Cosmological Parameters from the Clustering of AGN -- Large-Scale Environmental Effects...”

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Table of Contents: “...Astrophysics & Cosmology -- From the Cosmological Term to the Planck Constant -- Creation of Matter and Anomalous Redshifts -- The Origin of CMBR as Intrinsic Blackbody Cavity-QED Resonance Inherent in the Dynamics of the Continuous State Topology...”

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Subject (ZB): “...Topology....”

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Table of Contents: “... Elements -- 7 Superluminal Motion and Gravitational Lensing -- 8 Dual Spacetimes, Mach’s Principle and Topological Defect -- 9 Noncosmological Redshifts of Quasars -- 10 Extragalactic Fire-Works in Gamma-Rays -- 11 Instabilities in Optical Cavities of Laser...”

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Table of Contents: “...Dictionary : Condensed matter — High energy physics & cosmology -- Classification of topological defects and their relevance to cosmology and elsewhere -- The Normal and Superfluid States of Liquid 3He -- Formation, interaction and observation...”

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Table of Contents: “... Almost-FLRW universes -- 8 CBR anisotropies -- 9 Conclusion and open issues -- Topology of the Universe: Theory and Observation -- 1 Introduction -- 2 A Brief History of Cosmological Topology -- 3 Mathematical background -- 4 Topology and Cosmology -- 5...”

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Table of Contents: “... Compact Binaries -- The Virgo Project -- Gravitational Wave Astronomy -- The Internal Time Formalism in Canonical Gravity -- Numerical Relativity -- Integral Constraints in Cosmology -- Topological Censorship and Chronology Protection -- Quantizing Dilatonic...”

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Table of Contents: “... -- Correlation Dynamics of Qyantum Fields and Black Hole Information Paradox -- Topology and Time Reversal -- Polymer Geometry at Planck Scale and Quantum Einstein Equations -- Modular Cosmology -- Status of String Cosmology: Basic Concepts and Main Consequences...”

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Table of Contents: “...Wave function of the universe and particle physics -- Gravitational topological charge -- Cosmological principle and the debate about large scale structures distribution -- Statistics of cosmological inhomogeneities -- The potential of potential...”

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Table of Contents: “...I. The Early universe -- The Covariant and Gauge Invariant Approach to Perturbations in Cosmology -- Lectures on Inflationary Cosmology -- Back Reaction of Strings in Self Consistent String Cosmology -- Topological Defects in Cosmology -- Cosmological...”

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