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...
Sábháilte in:
| Príomhchruthaitheoirí: | , |
|---|---|
| Formáid: | Livre numérique |
| Teanga: | Anglais |
| Foilsithe / Cruthaithe: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Eagrán: | 1st ed. 2012. |
| Sraith: | Frontiers in mathematics
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| Ábhair: | |
| Rochtain ar líne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nóta: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Frames and Locales, Texte imprimé, 9783034801553 • Frames and locales, topology without points, Jorge Picado, Aleš Pultr, Basel, Birkhäuser, 2012, 1 vol. (XIX-398 p.), Frontiers in mathematics, 3-03-480153-X |
Clár na nÁbhar:
- 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.