Around splitting and reaping

Jörg Brendle

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 2, page 269-279
  • ISSN: 0010-2628

Abstract

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We prove several results on some cardinal invariants of the continuum which are closely related to either the splitting number 𝔰 or its dual, the reaping number 𝔯 .

How to cite

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Brendle, Jörg. "Around splitting and reaping." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 269-279. <http://eudml.org/doc/248285>.

@article{Brendle1998,
abstract = {We prove several results on some cardinal invariants of the continuum which are closely related to either the splitting number $\mathfrak \{s\}$ or its dual, the reaping number $\mathfrak \{r\}$.},
author = {Brendle, Jörg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cardinal invariants of the continuum; splitting number; open splitting number; reaping number; $\sigma $-reaping number; Cicho’n’s diagram; Hechler forcing; finite support iteration; cardinal invariants of the continuum; splitting number; open splitting number; reaping number; -reaping number; Cichoń’s diagram; Hechler forcing; finite support iteration},
language = {eng},
number = {2},
pages = {269-279},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Around splitting and reaping},
url = {http://eudml.org/doc/248285},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Brendle, Jörg
TI - Around splitting and reaping
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 2
SP - 269
EP - 279
AB - We prove several results on some cardinal invariants of the continuum which are closely related to either the splitting number $\mathfrak {s}$ or its dual, the reaping number $\mathfrak {r}$.
LA - eng
KW - cardinal invariants of the continuum; splitting number; open splitting number; reaping number; $\sigma $-reaping number; Cicho’n’s diagram; Hechler forcing; finite support iteration; cardinal invariants of the continuum; splitting number; open splitting number; reaping number; -reaping number; Cichoń’s diagram; Hechler forcing; finite support iteration
UR - http://eudml.org/doc/248285
ER -

References

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  10. Shelah S., Advances in cardinal arithmetic, Finite and infinite combinatorics in sets and logic (N.W. Sauer, R.E. Woodrow and B. Sands, eds.), Kluwer, Dordrecht, 1993, pp.355-383. Zbl0844.03028MR1261217
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  12. Vaughan J., Small uncountable cardinals and topology, Open problems in topology (J. van Mill and G. Reed, eds.), North-Holland, Amsterdam, 1990, pp.195-218. MR1078647
  13. Vojtáš P., Cardinalities of noncentered systems of subsets of ø m e g a , Discrete Mathematics 108 (1992), 125-129. (1992) MR1189835

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