Hindman’s Theorem is only a Countable Phenomenon-Reference-Cited by-同舟云学术

Hindman’s Theorem is only a Countable Phenomenon

Published:2016-12-06 Issue:1 Volume:35 Page:83-91
ISSN:0167-8094
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language:en
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Author:

Fernández-Bretón David J.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/article/10.1007/s11083-016-9419-7/fulltext.html

Reference14 articles.

1. Baumgartner, J.: A Short Proof of Hindman’s Theorem. J. Combin. Theory Ser. A. 17, 384–386 (1974)

2. Carlson, T.: Some unifying principles in Ramsey theory. Discret. Math. 68, 117–169 (1988)

3. Fernández Bretón, D.: Every Strongly Summable Ultrafilter on ⊕ Z 2 $\bigoplus \mathbb {Z}_{2}$ is Sparse. New York J. Math. 19, 117–129 (2013)

4. Fernández-Bretón, D., Rinot, A.: Strong failures of higher analogs of Hindman’s theorem. To appear in Transactions of the American Mathematical Society. arXiv: 1608.01512

5. Furstenberg, H., Katznelson, Y.: Idempotents in compact semigroups and Ramsey theory. Israel J. Math. 68, 257–270 (1989)

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