Virtual Topology and Functor Geometry (Paperback)
  • Virtual Topology and Functor Geometry (Paperback)
zoom

Virtual Topology and Functor Geometry (Paperback)

(author)
£110.00
Paperback 168 Pages / Published: 15/11/2007
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutative topology, Virtual Topology and Functor Geometry explores new aspects of these areas as well as more established facets of noncommutative algebra.

Presenting the material in an easy, colloquial style to facilitate understanding, the book begins with an introduction to category theory, followed by a chapter on noncommutative spaces. This chapter examines noncommutative lattices, noncommutative opens, sheaf theory, the generalized Stone space, and Grothendieck topology. The author then studies Grothendieck categorical representations to formulate an abstract notion of "affine open". The final chapter proposes a dynamical version of topology and sheaf theory, providing at least one solution of the problem of sheafification independent of generalizations of topos theory.

By presenting new ideas for the development of an intrinsically noncommutative geometry, this book fosters the further unification of different kinds of noncommutative geometry and the expression of observations that involve natural phenomena.

Publisher: Taylor & Francis Ltd
ISBN: 9781420060560
Number of pages: 168
Weight: 295 g
Dimensions: 235 x 156 x 11 mm

You may also be interested in...

Graph Theory As I Have Known It
Added to basket
Rings and Homology
Added to basket
Book of Abstract Algebra
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Maths for Chemistry
Added to basket
£31.99
Paperback
Linear Algebra
Added to basket
£13.99
Paperback
Linear Algebra
Added to basket
£64.99
Hardback
The Cartoon Guide to Algebra
Added to basket
Algebra
Added to basket
£24.99
Paperback
Linear Algebra Demystified
Added to basket
Edexcel Award in Algebra Level 3 Workbook
Added to basket
Maths for Science
Added to basket
£37.99
Paperback
An Introduction to the Theory of Numbers
Added to basket

Please sign in to write a review

Your review has been submitted successfully.