Preimages of points under the natural map from $\beta (N\times N)$ to $\beta N\times \beta N$
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- by Neil Hindman PDF
- Proc. Amer. Math. Soc. 37 (1973), 603-608 Request permission
Abstract:
This paper deals with the size of the preimages of points of $\beta N \times \beta N$ under the continuous extension, $\tau$, of the identity map on $N \times N$. It is concerned with those points $(p,q)$ of $\beta N \times \beta N$ for which ${\tau ^{ - 1}}(p,q)$ is infinite and extends the work of Blass [1] who thoroughly considered those points with finite preimages.References
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Andreas Blass, Orderings of ultrafilters, Thesis, Harvard University, Cambridge, Mass., 1970.
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199 Neil Hindman, On P-like spaces and their product with P-spaces, Thesis, Wesleyan University, Middletown, Conn., 1969.
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 603-608
- MSC: Primary 54D35
- DOI: https://doi.org/10.1090/S0002-9939-1973-0358695-0
- MathSciNet review: 0358695