Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. …
How to reveal, characterize, and exploit the structure in data? Meeting this central challenge of modern data science requires the …
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between …
Noncommutative geometry is the study of families of (commutative) algebraicvarieties (with specified connecting morphisms) which are locally controlledby noncommutative algebras.
These notes arose from a series of introductory seminars on noncommutative geometry the author gave at the University of Trieste. …
Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of …
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and …
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of …
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies …
Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, …
An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. …
Lacan postulated that the psyche can be understood by means of certain structures, which control our lives and our desires, …
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincar?© argued philosophically about the necessity …
The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of …
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects …
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the …
In the world of physical mail, there is a struggle to address letters and envelopes individually. In the world of …
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together …
Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable …
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct …
"Over a century old, knot theory is today one of the most active areas of modern mathematics. The study of …
Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth …
This book presents the textile-, mathematical and mechanical background for the modelling of fiber based structures such as yarns, braided …
The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for …
Arising from the 1996 Cape Town conference in honour of the mathematician Bernhard Banaschewski, this collection of 30 refereed papers …
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are …
If you are a student of mathematics, a scientist working in fields affected by knot theory research, or a curious …
Gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces …
TOPOLOGY OF METRIC SPACES gives a very streamlined development of a course in metric space topology emphasizing only the most …
Updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand Presents material concisely but …
