Topological Homogeneity

A. V. Arhangel’skii () and J. van Mill ()
Additional contact information
J. van Mill: VU University Amsterdam, Department of Mathematics, Faculty of Sciences

A chapter in Recent Progress in General Topology III, 2014, pp 1-68 from Springer

Abstract: Abstract This paper deals with homogeneous spaces that are not assumed to be close to a manifold; in fact, to homogeneous spaces on which very few assumptions are imposed and these assumptions are of quite general nature (like compactness). On the other hand, we also consider homogeneous spaces with some sort of pathology. There are many very interesting results on homogeneous metrizable continua which consequently will not be discussed here. It turns out that for the class of spaces we are interested in, many fundamental problems remain unsolved. Cardinal invariants and their theory are shown to be one of the main instruments in their study.

Keywords: Cardinal Invariants; Left Topological Group; Arhangel; Compact Homogeneous; Countable Tightness (search for similar items in EconPapers)
Date: 2014
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:978-94-6239-024-9_1

Ordering information: This item can be ordered from
http://www.springer.com/9789462390249

DOI: 10.2991/978-94-6239-024-9_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 ().