Topics in Topology
The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In t...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1652 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topics in topology, Stevo Todorcevic, 1997, Berlin, Springer, 1 volume (VIII-153 pages), Lecture notes in mathematics, 978-3-540-62611-4 • Topics in Topology, Texte imprimé, 9783662190845 |
| LEADER | 03607nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 970611 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155193465 | ||
| 020 | |a 9783540683384 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Todorčević, Stevo, |d 1955-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Topics in Topology |c Stevo Todorcevic. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1652 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Contents: Topology of pointwise convergence -- A theorem of Eberlein -- Ptak's Lemma -- Namioka's theorem -- Rosenthal's theorem -- Properties of Baire and Ramsey -- Baire property of analytic sets -- Baire property of filters and ideals -- Selective coideals -- Baire's characterization theorem and its corollaries -- Borel sets -- A selective analytic ideal -- Bourgain-Fremlin-Talagrand's theorem -- A space of ultrafilters -- Glazer's theorem -- A topological proof of van der Waerden theorem -- A semigroup of variable words -- Countable chain conditions of topological groups -- Michael's selection theorem -- Inverse systems -- Haydon's theorem -- Quotient groups -- A decomposition of compact groups -- Pestov's theorems -- Free topological groups -- Exponentially complete spaces -- Vaught's homeomorphism theorem -- Resolving a space: Accumulation orders and spectra -- Accumulation spectra of hyperspaces -- List of all exponentials -- Multiplication of accumulation orders. | |
| 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 The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces. | ||
| 650 | |a Topologie | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 776 | 0 | |0 028075250 |t Topics in topology |f Stevo Todorcevic |d 1997 |c Berlin |n Springer |p 1 volume (VIII-153 pages) |s Lecture notes in mathematics |z 978-3-540-62611-4 | |
| 776 | 0 | |t Topics in Topology |b Texte imprimé |z 9783662190845 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0096295 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-XRHM19W7-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750661356 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0096295 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754010929 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0096295 |z Accès INSA CVL | |
| 997 | |0 970611 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||