The regular open algebra of βRR is not equal to the completion of P(ω)/fin

Alan Dow

Fundamenta Mathematicae (1998)

  • Volume: 157, Issue: 1, page 33-41
  • ISSN: 0016-2736

Abstract

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Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute.

How to cite

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Dow, Alan. "The regular open algebra of βRR is not equal to the completion of P(ω)/fin." Fundamenta Mathematicae 157.1 (1998): 33-41. <http://eudml.org/doc/212276>.

@article{Dow1998,
abstract = {Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute. },
author = {Dow, Alan},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {33-41},
title = {The regular open algebra of βRR is not equal to the completion of P(ω)/fin},
url = {http://eudml.org/doc/212276},
volume = {157},
year = {1998},
}

TY - JOUR
AU - Dow, Alan
TI - The regular open algebra of βRR is not equal to the completion of P(ω)/fin
JO - Fundamenta Mathematicae
PY - 1998
VL - 157
IS - 1
SP - 33
EP - 41
AB - Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute.
LA - eng
UR - http://eudml.org/doc/212276
ER -

References

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  8. [8] S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, 1982. 
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  10. [10] O. Spinas and S. Shelah, The distributivity numbers of P(ω)/fin and its squares, Number 494 of Shelah Archives. 
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  12. [12] E. K. van Douwen, Transfer of information about βN-N via open remainder maps, Illinois J. Math. 34 (1990), 769-792. Zbl0709.54020
  13. [13] J. van Mill and S. W. Williams, A compact F-space not co-absolute with βℕ -ℕ, Topology Appl. 15 (1983), 59-64. 

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