Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Spaces homeomorphic to $\left( {2^\alpha } \right)_\alpha$


Authors: H. H. Hung and S. Negrepontis
Journal: Bull. Amer. Math. Soc. 79 (1973), 143-146
MSC (1970): Primary 02H99, 02K35, 54A25, 54G10; Secondary 06A40, 06A45, 54D35, 54H05
DOI: https://doi.org/10.1090/S0002-9904-1973-13132-5
MathSciNet review: 0367930
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. Blass, Orderings of ultrafilters, Ph.D. Thesis, Harvard University, Cambridge, Mass., 1970.
  • 2. D. Booth, Ultrafilters on a countable set, Ann. Math. Logic 2 (1970/71), no. 1, 1-24. MR 43 # 3104. MR 277371
  • 3. W. W. Comfort and S. Negrepontis, Homeomorphs of three subspaces of βN\N, Math. Z. 107 (1968), 53-58. MR 38 # 2739. MR 234422
  • 4. N. J. Fine and L. Gillman, Remote points in βR, Proc. Amer. Math. Soc. 13 (1962), 29-36. MR 26 # 732. MR 143172
  • 5. F. Hausdorff, Summen von אּ, Fund Math. 26 (1936), 241-255.
    6 H. H. Hung, The amalgamation property for G-metric spaces and homeomorphs of the space (2)<, Ph. D. Thesis, McGill University, Quebec, 1972. MR 314008

  • 7. H. J. Keisler, Good ideals in fields of sets, Ann. of Math. (2) 79 (1964), 338-359. MR 29 # 3383. MR 166105
  • 8. H. J. Keisler, Universal homogeneous Boolean algebras, Michigan Math. J. 13 (1966), 129-132. MR 33 # 3968. MR 195770
  • 9. K. Kunen, Ultrafilters and independent sets (manuscript).
  • 10. K. Kuratowski, Topologie. Vol. 1, PWN, Warsaw, 1958; English transl., Academic Press, New York; PWN, Warsaw, 1966. MR 19, 873; MR 36 # 840. MR 217751
  • 11. S. Negrepontis, The Stone space of the saturated Boolean algebras, Trans. Amer. Math. Soc. 141 (1969), 515-527. MR 40 # 1311. MR 248057
  • 12. S. Negrepontis, The existence of certain uniform ultrafilters, Ann. of Math. (2) 90 (1969), 23-32. MR 40 # 46. MR 246777
  • 13. I. I. Parovičenko, A universal bicompact of weight אּ, Dokl. Akad. Nauk SSSR 150 (1963), 36-39 = Soviet Math. Dokl. 4 (1963), 592-595. MR 27 # 719. MR 150732
  • 14. M. E. Rudin, Partial orders on the types in ßN, Trans. Amer. Math. Soc. 155 (1971), 353-362. MR 42 # 8459. MR 273581
  • 15. R. Sikorski, Remarks on some topological spaces of high power, Fund. Math. 37 (1950), 125-136. MR 12, 727. MR 40643
  • 16. R. G. Woods, A Boolean algebra of regular closed subsets of ßX\X, Trans. Amer. Math. Soc. 154 (1971), 23-36. MR 42 # 5230. MR 270341

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 02H99, 02K35, 54A25, 54G10, 06A40, 06A45, 54D35, 54H05

Retrieve articles in all journals with MSC (1970): 02H99, 02K35, 54A25, 54G10, 06A40, 06A45, 54D35, 54H05


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13132-5

American Mathematical Society