ABSTRACT
This is a summary of the first part of the paper “Extensions of Hausdorff spaces”, by Jack R. Porter and the author, which has appeared in full in the Pacific Journal of Mathematics. This summary was presented as an invited paper at the Special Session on Rings of Continuous Functions held during the January, 1982 Annual Meeting of the American Mathematical Society. All hypothesized topological spaces are assumed to be Hausdorff - thus the word “space” means “Hausdorff topological space”. The chapter begins by reviewing some well-known ideas. The extension properties whose behavior most closely resembles the behavior of the Tychonoff extension properties are the projective properties that have the κ-inversion property and are regular closed hereditary.
