Martin's axiom and partitions

S. Todorcevic; B. Velickovic

Compositio Mathematica (1987)

  • Volume: 63, Issue: 3, page 391-408
  • ISSN: 0010-437X

How to cite

top

Todorcevic, S., and Velickovic, B.. "Martin's axiom and partitions." Compositio Mathematica 63.3 (1987): 391-408. <http://eudml.org/doc/89867>.

@article{Todorcevic1987,
author = {Todorcevic, S., Velickovic, B.},
journal = {Compositio Mathematica},
keywords = {countable chain condition; MA; structure of ccc posets; partition calculus; compact Hausdorff space; Aronszajn tree; forcing},
language = {eng},
number = {3},
pages = {391-408},
publisher = {Martinus Nijhoff Publishers},
title = {Martin's axiom and partitions},
url = {http://eudml.org/doc/89867},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Todorcevic, S.
AU - Velickovic, B.
TI - Martin's axiom and partitions
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 3
SP - 391
EP - 408
LA - eng
KW - countable chain condition; MA; structure of ccc posets; partition calculus; compact Hausdorff space; Aronszajn tree; forcing
UR - http://eudml.org/doc/89867
ER -

References

top
  1. [Ar] A. Arhangel'skii: The construction and classification of topological spaces and cardinal invariants. Russian math. Surveys33: 6 (1978) 33-96. Zbl0428.54002
  2. [Be] M. Bell: On the combinatorial principle P(c)Fund. Math.114 (1981) 149-67. Zbl0581.03038MR643555
  3. [DS] K. Delvin and S. Shelah: A weak version of ♦ which follows from 2N0 &lt; 2N1. Israel J. Math.29 (1978) 239-247. Zbl0403.03040
  4. [vD] E.K. van Douwen: The Integers and Topology. In: Handbook of Set-Theoretic Topology, eds. K. Kunen and J. Vaughan. North Holland (1984) 111-167. Zbl0561.54004MR776622
  5. [Fr] D. Fremlin: Consequences of Martin's Axiom. Cambridge Tracts in Math.84, Cambridge University Press (1984). Zbl0551.03033MR780933
  6. [HJ] A. Hajnal and I. Juhász: A Consequence of Martin's Axiom. Indag. Math.33 (1971) 457-463. Zbl0302.54005MR305344
  7. [KT] K. Kunen and F. Tall: Between Martin's Axiom and Souslin's Hypothesis. Fund. Math.102 (1979) 173-181. Zbl0415.03040MR532951
  8. [MS] D. Martin and R. Solovay: Internal Cohen Extensions. Ann. Math. Logic2 (1970) 143-178. Zbl0222.02075MR270904
  9. [Ro] F. Rothberger: On some problems of Hausdorff and of Sierpinski. Fund. Math.35 (1948) 29-47. Zbl0032.33702MR29958
  10. [Sh] N.A. Shanin: On intersection of open subsets in the product of topological spaces. Comptes Rendus, (Doklady). Acad. Sci. U.R.S.S. 53 (1946) 449-501. Zbl0061.39603MR18815
  11. [ST] R. Solovay and S. Tennenbaum: Interated Cohen Extensions and Souslin's Problem. Ann. Math.94 (1971) 201-245. Zbl0244.02023MR294139
  12. ITo1] S. Todorcevic: Partitioning pairs of countable ordinals. Acta Math., to appear. Zbl0658.03028MR908147
  13. [To2] S. Todorcevic: Remarks on cellularity in products. Compositio Math.57 (1986) 357-372. Zbl0616.54002MR829326
  14. [Ve] B. Velickovic: Ph.D. thesis, University of Wisconsin, Madison (1986). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.