Non-Homogeneity of βP - P

Zdeněk Frolík

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 97-99 from Springer

Abstract: Abstract This is to answer a question I have been asked repeatedly by my colleagues since my proofs (independent of the continuum hypothesis) of non-homogeneity of ßℕ — ℕ were preprinted. It turns out that both methods, that one depending on the author’s estimate of the cardinal of the set of all relative types of a given point of ßℕ — ℕ (see [1]), and also that one depending on the author’s non-fixed point theorem (see [2] and [3] or [4]), work in general situation. What is needed in addition is not too much, however, perhaps a little bit surprising, see Lemma and its Corollary 2 below. Non-homogeneity problems for extremally disconnected spaces will be treated in a forthcoming paper.

Date: 1993
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:978-3-0348-7524-0_9

Ordering information: This item can be ordered from
http://www.springer.com/9783034875240

DOI: 10.1007/978-3-0348-7524-0_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 ().