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Non-Hausdorff Topology And Domain Theory

is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first;

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Hausdorff on Ordered Sets

concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics;

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Directed Algebraic Topology

and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be;

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Absolute Measurable Spaces

theory, topology, Borel measure theory and analysis. This monograph systematically develops and returns to the topological and geometrical;

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Hausdorff Measures

of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey;

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Elliptic PDEs on Compact Ricci Limit Spaces and Applications

of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author;

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Linear Differential Equations in the Complex Domain

theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The;

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Measure Theory

locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Surface Topology

, linked with surface topology, graph theory, group theory, vector field theory, and plane Euclidean and non-Euclidean geometry.;

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London Mathematical Society Lecture Note Series

captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and;

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London Mathematical Society Lecture Note Series

part of the book seeks to give a brief account of integration theory on compact Hausdorff spaces. The second, larger part starts from the;

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The Universal Coefficient Theorem and Quantum Field Theory

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a;

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From Differential Geometry to Non-commutative Geometry and Topology

geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.;

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A Non-Hausdorff Completion

This book introduces entirely new invariants never considered before, in homological algebra and commutative (and even non-commutative;

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Point Set Theory

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets. This;

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Point Set Theory

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets. This;

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Topology With Applications

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration;

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Monoidal Topology

from topology and approach theory to domain theory. All the necessary pre-requisites in order and category theory are presented in the book.;

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Geometry of Lengths, Areas, and Volumes

This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection;

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Cambridge Studies in Advanced Mathematics

are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an;

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Algebraic Homotopy

are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an;

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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a;

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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a;

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Noncommutative Geometry

key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation;

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Hausdorff Calculus

This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal;

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