## A ZFC Dowker space in $\aleph _{\omega +1}$: An application of pcf theory to topology

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- by Menachem Kojman and Saharon Shelah PDF
- Proc. Amer. Math. Soc.
**126**(1998), 2459-2465 Request permission

## Abstract:

The existence of a Dowker space of cardinality $\aleph _{\omega +1}$ and weight $\aleph _{\omega +1}$ is proved in ZFC using pcf theory.## References

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## Additional Information

**Menachem Kojman**- Affiliation: Department of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
- Address at time of publication: Department of Mathematics, Ben Gurion University of the Negev, POB 653, 84105 Beer-Sheva, Israel
- Email: kojman@math.bgu.ac.il
**Saharon Shelah**- Affiliation: Institute of Mathematics, The Hebrew University of Jerusalem, and Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
- MR Author ID: 160185
- ORCID: 0000-0003-0462-3152
- Email: shelah@math.huji.ac.il
- Received by editor(s): June 15, 1996
- Additional Notes: The second author’s research was supported by “The Israel Science Foundation” administered by The Israel Academy of Sciences and Humanities. Publication 609.
- Communicated by: Franklin D. Tall
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**126**(1998), 2459-2465 - MSC (1991): Primary 54B99, 54G99; Secondary 04A20, 04A30
- DOI: https://doi.org/10.1090/S0002-9939-98-04884-9
- MathSciNet review: 1605988