Describing some interactions of topology with other areas of mathematics, this text assumes only a basic knowledge of the subject. 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 hyper-spaces of compact metric zerodimensional spaces.
Series: Lecture Notes in Mathematics
Number Of Pages: 160
Published: 20th March 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6 x 0.91
Weight (kg): 0.25