The Leading eBooks Store Online 4,034,055 members ⚫ 1,328,001 ebooks

New to

Learn more

Frames and Locales

Topology without points

Frames and Locales by Jorge Picado
Buy this eBook
US$ 74.95
(If any tax is payable it will be calculated and shown at checkout.)

Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent.

Imitating the behaviour of open sets and their relations  led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory.

No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present.  Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

Springer Basel; October 2011
411 pages; ISBN 9783034801546
Read online, or download in secure PDF format
Title: Frames and Locales
Author: Jorge Picado; Aleš Pultr
  • News
  • Contents
No entry found