Ramsey subsets of the space of infinite block sequences of vectors
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Acceso en línea: | |
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| _version_ | 1866917445695963136 |
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| author | Calderon, Daniel Di Prisco, Carlos Mijares, Jose G. |
| author_facet | Calderon, Daniel Di Prisco, Carlos Mijares, Jose G. |
| contents | We study families of infinite block sequences of elements of the space $\FIN_k$. In particular we study Ramsey properties of such families and Ramsey properties localized to a selective or semiselective coideal. We show how the stable ordered-union ultrafilters defined by Blass, and Matet-adequate families defined by Eisworth in the case $k=1$ fit in the theory of the Ramsey space of infinite block sequences of finite sets of natural numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_10054 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Ramsey subsets of the space of infinite block sequences of vectors Calderon, Daniel Di Prisco, Carlos Mijares, Jose G. Combinatorics Primary 05E35, Secondary 03E55 We study families of infinite block sequences of elements of the space $\FIN_k$. In particular we study Ramsey properties of such families and Ramsey properties localized to a selective or semiselective coideal. We show how the stable ordered-union ultrafilters defined by Blass, and Matet-adequate families defined by Eisworth in the case $k=1$ fit in the theory of the Ramsey space of infinite block sequences of finite sets of natural numbers. |
| title | Ramsey subsets of the space of infinite block sequences of vectors |
| topic | Combinatorics Primary 05E35, Secondary 03E55 |
| url | https://arxiv.org/abs/1810.10054 |