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.
Cumpărați această carte electronică și primiți încă 1 GRATUIT!
Limba Engleză ● Format PDF ● ISBN 9783540683384 ● Editura Springer Berlin Heidelberg ● Publicat 2006 ● Descărcabil 3 ori ● Valută EUR ● ID 6319643 ● Protecție împotriva copiilor Adobe DRM
Necesită un cititor de ebook capabil de DRM