Journal of the Mathematical Society of Japan

Combinatorial principles on $\bm{\omega_1}$, cardinal invariants of the meager ideal and destructible gaps

Teruyuki YORIOKA

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Abstract

We show that (1) stick plus c o v > 1 implies the existence of a destructible gap and (2) $\clubsuit$ plus c o f = 1 implies the existence of a destructible gap.

Article information

Source
J. Math. Soc. Japan, Volume 57, Number 4 (2005), 1217-1228.

Dates
First available in Project Euclid: 14 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1150287311

Digital Object Identifier
doi:10.2969/jmsj/1150287311

Mathematical Reviews number (MathSciNet)
MR2183591

Zentralblatt MATH identifier
1083.03043

Subjects
Primary: 03E05: Other combinatorial set theory 03E35: Consistency and independence results

Keywords
$\clubsuit$ stick cardinal invariants of the meager ideal destructible gaps

Citation

YORIOKA, Teruyuki. Combinatorial principles on $\bm{\omega_1}$, cardinal invariants of the meager ideal and destructible gaps. J. Math. Soc. Japan 57 (2005), no. 4, 1217--1228. doi:10.2969/jmsj/1150287311. https://projecteuclid.org/euclid.jmsj/1150287311


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