Dissertation/Thesis Abstract

The uniform box product problem
by Bell, Jocelyn R., Ph.D., State University of New York at Buffalo, 2011, 70; 3440269
Abstract (Summary)

The uniform box product problem is a weakening of the well known box product problem, which asks whether products of certain compact spaces are normal or even paracompact. Using uniformities, we define a new topology on products between the box and Tychonov products, called the uniform box product. This new product is an extension of the sup metric to powers of compact spaces. We investigate a certain non-metrizable compact space whose product in this new topology is normal, countably paracompact, and collectionwise Hausdorff.

Indexing (document details)
Advisor: Williams, Scott
Commitee: Menasco, William, Schanuel, Stephen
School: State University of New York at Buffalo
Department: Mathematics
School Location: United States -- New York
Source: DAI-B 72/04, Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics, Theoretical Mathematics
Keywords: Box product problem, Box topology, Collectionwise hausdorff, Countably paracompact, Sup metric, Uniformity
Publication Number: 3440269
ISBN: 978-1-124-47407-6
Copyright © 2020 ProQuest LLC. All rights reserved. Terms and Conditions Privacy Policy Cookie Policy
ProQuest