OCA and towers in $\Cal P(\Bbb N)/fin$
Farah, Ilijas
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 861-866 / Harvested from Czech Digital Mathematics Library

We shall show that Open Coloring Axiom has different influence on the algebra $\Cal P(\Bbb N)/fin$ than on $\Bbb N^\Bbb N/fin$. The tool used to accomplish this is forcing with a Suslin tree.

Publié le : 1996-01-01
Classification:  03E05,  03E35,  03E50,  04A20,  06A05
@article{118893,
     author = {Ilijas Farah},
     title = {OCA and towers in $\Cal P(\Bbb N)/fin$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {861-866},
     zbl = {0887.03037},
     mrnumber = {1440716},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118893}
}
Farah, Ilijas. OCA and towers in $\Cal P(\Bbb N)/fin$. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 861-866. http://gdmltest.u-ga.fr/item/118893/

Abraham U.; Rubin M.; Shelah S. On the consistency of some partition theorems for continuous colorings, and the structure of $\aleph_1$-dense real order types, Ann. of Pure and Appl. Logic 29 (1985), 123-206. (1985) | MR 0801036

Baumgartner J. All $\aleph_1$-dense sets of reals can be isomorphic, Fundamenta Mathematicae 79 (1973), 100-106. (1973) | MR 0317934 | Zbl 0274.02037

Devlin K.; Johnsbråten H. The Souslin Problem, Springer Lecture Notes in Mathematics, # 405 (1974). (1974) | MR 0384542

Dordal P.L. Towers in $[ømega]^ømega$ and $^ømegaømega$, Ann. of Pure and Appl. Logic 247-277 (1989), 45.3. (1989) | MR 1032832

Fremlin D. Consequences of Martin's Axiom, Cambridge University Press (1984). (1984) | Zbl 0551.03033

Gruenhage G. Cosmicity of cometrizable spaces, Trans. AMS 313 (1989), 301-315. (1989) | MR 0992600 | Zbl 0667.54012

Todorčević S. Partition Problems in Topology, AMS Providence, Rhode Island (1989). (1989) | MR 0980949

Todorčević S. Oscillations of sets of integers, to appear. | MR 1601383

Veličković B. OCA and automorphisms of $\Cal P(ømega)/fin$, Topology Appl. 49 (1993), 1-13. (1993) | MR 1202874

Weese M. personal communication, .