Topology

In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them.

In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them.

In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them.

This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place.

This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang-Baxter equations.

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point.

This book examines and explores Jacques Lacan's controversial topologisation of psychoanalysis, and seeks to persuade the reader that this enterprise was necessary and important.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein.

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant.

This book provides an introduction to some key subjects in algebra and topology.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications.

This book gives a systematic presentation of real algebraic varieties.

This book is a remarkable contribution to the literature on dynamical systems and geometry.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

Up-to-date research in metric diffusion along compact foliations is presented in this book.

This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry.

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

This classic work has been fundamentally revised to take account of recent developments in general topology.

Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

This book explains and helps readers to develop geometric intuition as it relates to differential forms.

This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology.

Topological surgery is a mathematical technique used for creating new manifolds out of known ones.

This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

This book provides a modern introduction to harmonic analysis and synthesis on topological groups.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This book is intended as a one-semester course in general topology, a.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.

The study of triangulations of topological spaces has always been at the root of geometric topology.

This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds.

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

This book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous regions.

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community.

This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang-Baxter equations.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline.

This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces.