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Introduction to Topology
First published in 1983...
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Data Communications and Networking
First published in 2000...
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Topological superfluids with time reversal symmetry
It is shown that superfluids in two and three dimensions which have time reversal invariant ground states have phases which are distinguished by a topological invariant. Further, it is shown that the ...
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On Charge 3 Symmetric Monopoles
Monopoles are solutions of an SU(2) gauge theory in $\mathbb{R}^{3}$ satisfying a lower bound for energy and certain asymptotic conditions, which translate as topological properties encoded in their c...
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Strong neutrosophic graphs and subgraph topological subspaces
Available on Internet Archive....
View Book →Topological Methods in the Theory of Functions of a Complex Variable
No description available....
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An introduction to general topology
First published in 1971...
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String Axiverse
String theory suggests the simultaneous presence of many ultralight axions possibly populating each decade of mass down to the Hubble scale 10^-33eV. Conversely the presence of such a plenitude of axi...
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Topological Algebras, Their Applications, and Related Topics
No description available....
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Extremal Black Holes in Supergravity and the Bekenstein-Hawking Entropy
We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For hig...
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Mathematical structures for computer science
First published in 1982...
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Hardy Inequalities on Homogeneous Groups
100 Years of Hardy Inequalities...
View Book →Elements of Topological Dynamics
This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the q...
View Book →Topological Methods in Nonlinear Analysis
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View Book →Topological Dynamics
Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general th...
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Topological contributions to fermionic correlators and nonperturbative aspects of QCD in two dimensi
We analyze the formation of fermionic condensates in two dimensional quantum chromodynamics for matter in the fundamental representation of the gauge group. We show that a topological regular instanto...
View Book →Topological Fields
Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically ...
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Multiplicative Functionals on Topological Algebras
No description available....
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Quantum Oscillations in Cu$_x$Bi$_2$Se$_3$ in High Magnetic Fields
Cu$_x$Bi$_2$Se$_3$ has drawn much attention as the leading candidate to be the first topological superconductor and the realization of coveted Majorana particles in a condensed matter system. However,...
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Twisted lattice supersymmetry and applications to AdS/CFT
I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar su...
View Book →Topological Vector Spaces
Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banac...
View Book →Topological Structure and Banach Ideals of Composition Operators
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View Book →Invitation to Topological Robotics
This book discusses several selected topics of a new emerging area of research on the interface between topology and engineering. The first main topic is topology of configuration spaces of mechanical...
View Book →A Topological Study of Certain Plane Algebraic Curves
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On Gossez type (D) maximal monotone operators
Gossez type (D) operators are defined in non-reflexive Banach spaces and share with the subdifferential a topological related property, characterized by bounded nets. In this work we present new prope...
View Book →Topological Graph Theory
This definitive treatment written by well-known experts emphasizes graph imbedding while providing thorough coverage of the connections between topological graph theory and other areas of mathematics:...
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Equational compactness in rings, with applications to the theory of topological rings
iii, 167 p. ; 25 cm...
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Quantum Theory of Geometry II: Volume operators
A functional calculus on the space of (generalized) connections was recently introduced without any reference to a background metric. It is used to continue the exploration of the quantum Riemannian g...
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Topics in Topological Graph Theory
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geom...
View Book →Introduction to Topological Groups
Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algeb...
View Book →On Ideal Theory in Banach and Topological Algebras
No description available....
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Topological density of ccc Boolean algebras - every cardinality occurs.
For every uncountable cardinal mu there is a ccc Boolean algebra whose topological density is mu ....
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The Aharonov-Bohm effect in conical space
Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is con...
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Studies of Topological Distributions of the Three- and Four-Jet Events in $\pp$ Collisions at $\sqrt
The global topologies of inclusive three-- and four--jet events produced in $\pp$ interactions are described. The three-- and four--jet events are selected from data recorded by the D{\O}detector at t...
View Book →Topological Algebras
This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general form...
View Book →Introduction to Metric and Topological Spaces
One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This book introduce...
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Extended Holomorphic Anomaly in Gauge Theory
The partition function of an N=2 gauge theory in the Omega-background satisfies, for generic value of the parameter beta=-eps_1/eps_2, the, in general extended, but otherwise beta-independent, holomor...
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Topological quantization of the free massive bosonic field
We present a topological quantization of free massive bosonic fields as the first example of a classical field theory with a quantum counterpart to be studied under this formalism. First, we identify ...
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Measure and measurable dynamics : proceedings of a conference in honor of Dorothy Maharam Stone, hel
xxiii, 326 p. : 25 cm...
View Book →Abstract Harmonic Analysis: Structure of topological groups, integration theory, group representatio
No description available....
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Systems engineering and analysis
First published in 1981...
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The diffeotopy group of S^1 \times S^2 via contact topology
As shown by H. Gluck in 1962, the diffeotopy group of S^1 \times S^2 is isomorphic to Z_2 + Z_2 + Z_2. Here an alternative proof of this result is given, relying on contact topology. We then discuss t...
View Book →Topological Phases of Matter
This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework....
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Real Analysis
First published in 1963...
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The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology
Topology of levels of the quasiperiodic functions with m=n+2 periods on the plane is studied. For the case of functions with m=4 periods full description is obtained for the open everywhere dense fami...
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Team Topologies
First published in 2019...
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Topological Aspects of Spin and Statistics in Nonlinear Sigma Models
We study the purely topological restrictions on allowed spin and statistics of topological solitons in nonlinear sigma models. Taking as space the connected $d$-manifold $X$, and considering nonlinear...
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