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...
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| סדרה: | Lecture notes in mathematics
1652 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
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 |
תוכן הענינים:
- 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.