ALGEBRAIC TOPOLOGY

ALGEBRAIC TOPOLOGY

GRANDIS MARCO / Marco Grandis

57,09 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2022
ISBN:
9789819814053
57,09 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites - basic general topology and little else - and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.

Artículos relacionados

  • ZETA FUNCTIONS OF REDUCTIVE GROUPS AND THEIR ZEROS
    LIN WENG / WENG LIN
    This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology t...
  • The Norm Residue Theorem in Motivic Cohomology
    Charles A. Weibel / Christian Haesemeyer
    This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited...
    Disponible

    114,75 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    108,21 €

  • TOPOLOGY - HAWAII (P/H)
    K H DOVERMANN
    The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990. These cover recent results in algebraic topology, algebraic transformation groups, real algebraic geometry, low-dimensional topology, and Nielsen Fixed Point Theory. ...
  • Computational Aspects of Modular Forms and Galois Representations
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan’s tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, excep...
    Disponible

    129,39 €

Otros libros del autor

  • ALGEBRAIC TOPOLOGY
    GRANDIS MARCO / Marco Grandis
    Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological ...
  • CATEGORY THEORY & APPL (2ND ED)
    GRANDIS MARCO / Marco Grandis
    Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the...
    Disponible

    70,06 €

  • CATEGORY THEORY & APPL (2ND ED)
    GRANDIS MARCO / Marco Grandis
    Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the...
  • MANIFOLDS AND LOCAL STRUCTURES
    GRANDIS MARCO / Marco Grandis
    Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable ’elementary spaces’, by means of partial homeomorphisms that fix the gluing conditions and form a sort of ’intrinsic atlas’, instead of the more usual system of charts living in an external framework.An ’intrinsic manifold’ is de...
  • ELEMENTARY OVERVIEW OF MATHEMATICAL STRUCTURES, AN
    GRANDIS MARCO / Marco Grandis
    Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces.More recently, these structured sets and their transformations have been assembled in higher structures, called c...
    Disponible

    70,05 €

  • ELEMENTARY OVERVIEW OF MATHEMATICAL STRUCTURES, AN
    GRANDIS MARCO / Marco Grandis
    Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces.More recently, these structured sets and their transformations have been assembled in higher structures, called c...