Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Todorčević, Stevo (1955-....)
Titre(s) : Topics in topology [Texte électronique] / Stevo Todorcevic
Publication : Berlin ; New York : Springer, cop. 1997
Description matérielle : 1 online resource (viii, 153 pages)
Collection : Lecture notes in mathematics ; 1652
Note(s) : Includes bibliographical references and index. - Print version record.
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
Sujet(s) : Topologie
Groupes topologiques
Fonctions d'une variable réelle
Indice(s) Dewey :
510 (23e éd.) = Mathématiques ; 514 (23e éd.) = Topologie
Identifiants, prix et caractéristiques : ISBN 9783540683384
Identifiant de la notice : ark:/12148/cb446937655
Notice n° :
FRBNF44693765
(notice reprise d'un réservoir extérieur)
Table des matières : 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.
