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...
Shranjeno v:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2012. |
| Serija: | Frontiers in mathematics
|
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
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 |
| LEADER | 03801nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 958588 | ||
| 008 | 140204q2000 xx|||||| |||| 00| 0 eng d | ||
| 009 | PPN176042059 | ||
| 020 | |a 9783034801546 (pdf) | ||
| 041 | 0 | |a eng | |
| 082 | |a 514 | ||
| 100 | 1 | |a Picado, Jorge, |d 19..- | |
| 245 | 1 | 0 | |a Frames and locales : |b topology without points |c Jorge Picado, Aleš Pultr. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Frontiers in mathematics |x 1660-8054 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 367-380. Listes des symboles et des catégories. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the 1950s. 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. | ||
| 650 | |a Frames (mathématiques) | ||
| 650 | |a Topologie | ||
| 700 | 1 | |a Pultr, Aleš, |d 1938- |4 aut | |
| 776 | 0 | |t Frames and Locales |b Texte imprimé |z 9783034801553 | |
| 776 | 0 | |0 15652810X |t Frames and locales |o topology without points |f Jorge Picado, Aleš Pultr |c Basel |n Birkhäuser |d 2012 |p 1 vol. (XIX-398 p.) |s Frontiers in mathematics |z 3-03-480153-X | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0154-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Q0D05JH4-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749128682 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0154-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752137689 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0154-6 |z Accès INSA CVL | |
| 997 | |0 958588 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||