Pairwise disjoint eight-shaped curves in hybrid planes

Mathematical Logic Quarterly 53 (6):551-557 (2007)
  Copy   BIBTEX

Abstract

We introduce a suitable notion of eight-shaped curve in the product S × ℝ of a Suslin line S for the real line ℝ, and we prove that if S is dense in itself, then every collection of pairwise disjoint eight-shaped curves in S × ℝ is countable. This parallels a folklore result which holds for the real plane

Categories

Keywords

Reprint years

DOI

10.1002/malq.200710003

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,225

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Strong completeness of s4 for any dense-in-itself metric space.Philip Kremer - 2013 - Review of Symbolic Logic 6 (3):545-570.
A note on a forcing related to the S‐space problem in the extension with a coherent Suslin tree.Teruyuki Yorioka - 2015 - Mathematical Logic Quarterly 61 (3):169-178.
Compact Metric Spaces and Weak Forms of the Axiom of Choice.E. Tachtsis & K. Keremedis - 2001 - Mathematical Logic Quarterly 47 (1):117-128.
On countable choice and sequential spaces.Gonçalo Gutierres - 2008 - Mathematical Logic Quarterly 54 (2):145-152.
Decomposing the real line into Borel sets closed under addition.Márton Elekes & Tamás Keleti - 2015 - Mathematical Logic Quarterly 61 (6):466-473.
Strong Completeness of S4 for the Real Line.Philip Kremer - 2021 - In Ivo Düntsch & Edwin Mares (eds.), Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs. Springer Verlag. pp. 291-302.
Quantified intuitionistic logic over metrizable spaces.Philip Kremer - 2019 - Review of Symbolic Logic 12 (3):405-425.
Choice principles from special subsets of the real line.E. Tachtsis & K. Keremedis - 2003 - Mathematical Logic Quarterly 49 (5):444.
Sequential topological conditions in ℝ in the absence of the axiom of choice.Gonçalo Gutierres - 2003 - Mathematical Logic Quarterly 49 (3):293-298.
Hamel-isomorphic images of the unit ball.Jacek Cichoń & Przemysław Szczepaniak - 2010 - Mathematical Logic Quarterly 56 (6):625-630.

Analytics

Added to PP
2013-12-01

Downloads
25 (#879,283)

6 months
7 (#704,497)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references