Intro; Preface; Contents; Contributors; Symbols; 1 Basic and Classic Results on Pseudocompact Spaces; 1.1 Basic Properties; 1.2 Baire Property and Metacompactness; 1.3 Pseudocompactness and the Stone-Čech Compactification; 1.4 Products of Pseudocompact Spaces; 1.5 Tamano's Theorem; 1.6 Glicksberg's Theorems; 1.7 Pseudocompactness of Dense Subsets of Product Spaces; References; 2 Pseudocompact Topological Groups; 2.1 Introduction; 2.2 Preliminary Facts; 2.3 Characterization of Pseudocompactness in Topological Groups; 2.4 Uniformities on Topological Groups

4.3 Strongly Bounded Subsets4.4 Glicksberg's Theorem for Bounded Subsets; 4.5 Bounded Subsets of Topological Groups; References; 5 Weakly Pseudocompact Spaces; 5.1 Introduction; 5.2 Terminology and Notation; 5.3 Basic Results on Weakly Pseudocompact Spaces; 5.4 Locally Pseudocompact Spaces; 5.5 The Geometric Cone; 5.6 Weakly Pseudocompact Product Spaces; 5.7 Simple Pseudocompact Spaces; 5.8 Unions of Weakly Pseudocompact Spaces; 5.9 Locally Weakly Pseudocompact Spaces and GO-spaces; 5.10 Properties Related to Metrizability and Completeness Properties

5.11 Weak Pseudocompactness and Topological Groups5.12 Weak Pseudocompactness and Cp(X,Y)-spaces; 5.13 Spaces of Bounded Continuous Functions; 5.14 Regular Subrings of C*(X) and Gelfand Compactifications; References; 6 Maximal Pseudocompact Spaces; 6.1 Introduction; 6.2 Universally Maximal Pseudocompact Spaces; 6.3 Maximal Pseudocompact Spaces; 6.4 Hereditarily Maximal Pseudocompact Spaces; 6.5 Products of Maximal Pseudocompact Spaces; 6.6 Embeddings in MP-Spaces and MCC-Spaces; References; 7 Pseudocompactness in the Realm of Topological Transformation Groups; 7.1 Introduction