Function spaces in the topology of pointwise convergence, and compact sets

Abstract

CONTENTS Introduction § 1. The Ptak approach § 2. Bounded sets in function spaces and Grothendieck's theorem § 3. Theorems on tightness and monolithicity in function spaces over compact sets § 4. Namioka's theorem § 5. Function spaces over pseudocompact spaces § 6. The structure of the space over Eberlein or Corson compacta § 7. Pseudocompact, -compact, and countably paracompact subspaces of § 8. Two generalizations of Grothendieck's theorem § 9. When is the space -compact? References