The properties of certain sets called prefibers in a metric space are used to show that the algebraic properties of the Cartesian product of graphs generalize to metric spaces. Definition 1.1. (i) Let X = lJEIXi, for i E I, pri denotes the projection on Xi; for x E X, the i-fiber of X through x is
โฆ LIBER โฆ
The box product of countably many compact metric spaces
โ Scribed by Mary Ellen Rudin
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 641 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0016-660X
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## Abstract This is a continuation of [2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces (first and second countable spaces, Hausdorff spaces, and subspaces of โ^__K__^). We also study well ordered Tychonoff products and the effect