Frames and Locales Topology without points /

• Κύριοι συγγραφείς: Picado, Jorge (Συγγραφέας), Pultr, Aleš (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2012.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Topology.

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...

Πίνακας περιεχομένων:

• 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.