Frames and Locales Topology without points /

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 1920s offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Picado, Jorge (Author), Pultr, Aleš (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Series:Frontiers in Mathematics,
Subjects:
Topology.
Online Access:Texto Completo
Table of Contents:
  • Preface
  • Introduction
  • I. Spaces and lattices of open sets
  • II. Frames and locales. Spectra
  • III. Sublocales
  • IV. Structure of localic morphisms. The categories Loc and Frm
  • V. Separation axioms
  • VI. More on sublocales.-VII. Compactness and local compactness
  • VIII. (Symmetric) uniformity and nearness
  • IX. Paracompactness
  • X. More about completion
  • XI. Metric frames
  • XII. Entourages, non-symmetric uniformity
  • XIII. Connectedness
  • XIV. The frame of reals and real functions
  • XV. Localic groups
  • Appendix I: Posets
  • Appendix II: Categories
  • Bibliography
  • Index of Notation
  • Index.

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