Convergence spaces

R. Beattie and H.-P. Butzmann
Additional contact information
R. Beattie: Mount Allison University, Department of Mathematics and Computer Science
H.-P. Butzmann: Universität Mannheim, Fakultät für Mathematik und Informatik

Chapter Chapter 1 in Convergence Structures and Applications to Functional Analysis, 2002, pp 1-58 from Springer

Abstract: Abstract In this section, we introduce the fundamental concepts of convergence spaces: convergence structures and continuous mappings. Very roughly speakjng, a convergence space is a set together with a designated collection of convergent filters. A continuous mapping is one which preserves convergent filters. We formalize these concepts and introduce one of the most important convergence structures, continuous convergence.

Keywords: Inductive Limit; Projective Limit; Countable Basis; Sequential Convergence; Convergence Structure (search for similar items in EconPapers)
Date: 2002
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:978-94-015-9942-9_1

Ordering information: This item can be ordered from
http://www.springer.com/9789401599429

DOI: 10.1007/978-94-015-9942-9_1

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 ().