Categorical Interpretations of Absolutes and Extensions

Jack R. Porter and R. Grant Woods
Additional contact information
Jack R. Porter: The University of Kansas, Department of Mathematics
R. Grant Woods: University of Manitoba, Department of Mathematics

Chapter Chapter 9 in Extensions and Absolutes of Hausdorff Spaces, 1988, pp 691-764 from Springer

Abstract: Abstract In virtually every branch of abstract mathematics the entities studied are sets endowed with some “structure” (e.g., a topology or a set of algebraic operations), together with “structure-preserving” functions between such sets. It is therefore not surprising that there are many similarities among the various constructions and techniques used in different branches of abstract mathematics, or within a single branch of mathematics. One theme of this book has been the development of a general theory emphasizing the similarities among the various instances of one class of topological constructions, namely extensions. (To a much lesser extent we have studied covers in the same way.) Thus, in Chapter 5, we showed that the Stone-Čech compactification, the maximum zero-dimensional compactification, and the Hewitt realcompactification are all specific examples of the same phenomenon.

Date: 1988
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3712-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9781461237129

DOI: 10.1007/978-1-4612-3712-9_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().