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

Fundamenta Mathematicae (1998)

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

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topDow, 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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- [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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