Publicaciones y Preprints

Esta es mi lista de publicaciones, así como de manuscritos que están a punto de ser publicados (preprints). Hacer clic en un título expandirá las opciones para descarga. Para otro tipo de manuscritos, hacer clic en Manuscritos. También es posible ver mis perfiles en zbMATH y en Google Académico.

Artículos "preprint" sometidos para su posible publicación

(con Jareb Navarro-Castillo y Jesús A. Soria-Rojas): Q-points, selective ultrafilters, and idempotents, with an application to choiceless set theory.
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- Descargar del arXiv
(con Bruno Fernando Aceves-Martínez, L.F. Romero-García, y Luis F. Villagómez-Canela): The adjacent Hindman's theorem and the $\mathbb Z$-Ramsey theorem.
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- Descargar del arXiv

Artículos de investigación publicados o aceptados

(Con Eliseo Sarmiento Rosales y Germán Vera): Owings-like theorems for infinitely many colours or finite monochromatic sets, Annals of Pure and Applied Logic 175 no. 10 (2024), 103495.
Hindman's Theorem in the hierarchy of Choice Principles, Journal of Mathematical Logic 24 no. 1 (2024), 2350002.
(Con Lorenzo Carlucci): The adjacent Hindman theorem for uncountable groups. Colloquium Mathematicum 173 no. 2 (2023), 273-284.
Using ultrafilters to prove Ramsey-type theorems, American Mathematical Monthly 129 no. 2 (2022), 116-131.
(Con Nicholas G. Vlamis, y un apéndice también con Mathieu Baillif): Ends of non-metrizable manifolds: a generalized bagpipe theorem, Topology and its Applications 310 (2022), 108017.
(Con Gerardo Acosta): Equicontinuous mappings on finite trees, Fundamenta Mathematicae 254 no. 2 (2021), 215-240.
(Con Joshua Brot y Mengyang Cao): Finiteness classes arising from Ramsey-theoretic statements in set theory without choice, Annals of Pure and Applied Logic, 172 no. 6 (2021), 102961.
(con Sung Hyup Lee): Hindman-like theorems with uncountably many colours and finite monochromatic sets. Proceedings of the American Mathematical Society 148 no. 7 (2020), 3099-3112.
Stable ordered union ultrafilters and $\mathrm{cov}(\mathcal{M})<\mathfrak c$. Journal of Symbolic Logic 84 no. 3 (2019), 1176-1193.
(Con Elizabeth Lauri): A characterization of the Boolean Prime Ideal theorem in terms of forcing notions. Fundamenta Mathematicae 245 no. 1 (2019), 25-38.
(Con Michael Hrušák): A parametrized diamond principle and union ultrafilters. Colloquium Mathematicum 153 no. 2 (2018), 261-271.
Hindman's Theorem is only a countable phenomenon. Order 35 (2018), 83-91.
(Con Assaf Rinot): Strong failures of higher analogs of Hindman's theorem. Transactions of the American Mathematical Society 369 no. 12 (2017), 8939-8966.
(Con Michael Hrušák): Gruff ultrafilters. Topology and its Applications 210 (2016), 355-365; también tenemos una fé de erratas para este artículo (Topol. Appl. 231 (2017), 430-431).
- Descargar PDF del artículo y de la fé de erratas.
- Descargar de la página de la revista (requiere suscripción): artículo y fé de erratas.
- Descargar del arXiv (artículo y fé de erratas juntos).
(Con Martino Lupini): Strongly productive ultrafilters on semigroups. Semigroup Forum 92 (2016), 242-257.
Strongly Summable Ultrafilters, Union Ultrafilters, and the Trivial Sums Property. Canadian Journal of Mathematics 68 (2016), 44-66.
Every strongly summable ultrafilter on $\bigoplus\mathbb Z_2$ is sparse, New York Journal of Mathematics 19 (2013), 117-129.

Tesis

Artículos expositorios y de divulgación

"Un problema de álgebra que resultó indecidible", en Juan Angoa et. al. (eds.), Topología y Sistemas Dinámicos IV, Benemérita Universidad Autónoma de Puebla, 2011; pp. 91-112.
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Reseñas de Artículos para Mathematical Reviews (MathSciNet) o Zentralblatt

[Zbl 07303626] Hindman, N. y Pleasant, K.; Central sets theorem for arbitrary adequate partial semigroups. Topol. Proc. 58 (2021), 183-206.
[MR4030955] Tachtsis, E.; Łoś's theorem and the axiom of choice. MLQ Math. Log. Q. 65 (2019), no. 3, 280-292.
[Zbl 07150826] Chentsov, A. G.; Bitopological spaces of ultrafilters and maximal linked systems. (English. Russian original) Proc. Steklov Inst. Math. 305, Suppl. 1, S24-S39 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 1, 257-272 (2018).
[Zbl 06908765] Xu, X.; Liang, M.; and Luo, H.; Ramsey theory. Unsolved problems and results.. De Gruyter (ISBN 978-3-11-057651-1/hbk; 978-3-11-057670-2/ebook). xii, 178 pp. Berlin, 2018.
[MR3941152] Mermelstein, O.; Calculating the closed ordinal Ramsey number $R^{cl}(\omega\cdot 2,3)$.. Israel J. Math. 230 (2019), no. 1, 387-407.
[MR3835077] Tachtsis, E.; On the set-theoretic strength of Ellis' theorem and the existence of free idempotent ultrafilters on $\omega$. J. Symb. Log. 83 (2018), no. 2, 551-571.
[MR3700856] Brendle, J.; Q. Sets and computations (Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 33), NJ, 2018, pp. 1--10.
[Zbl 06735264] Guerrero Sánchez, D; and Tkachuk, V. V.; If $C_p(X)$ is strongly dominated by a second countable space, then $X$ is countable. J. Math. Anal. Appl. 454 no. 2 (2017), 533-541.
[MR3633221] Viale, M.; Forcing the truth of a weak form of Schanuel's conjecture. Confluentes Math. 8 (2016), no. 2, 59-83.
[MR3552290] Juhász, I.; Soukup, L.; and Szentmiklóssy, Z.; Pinning down versus density. Israel J. Math. 215 (2016), no. 2, 583–605.
[Zbl 06506061] Shelah, S.; Spinas, O.; Mad spectra. J. Symb. Log. 80 (2015), 901-916.
[Zbl 06517543] Dow, A.; Generalized side-conditions and Moore-Mrówka. Topology Appl. 197 (2016), 75-101.
[MR3459883] Herrlich, H.; Howard, P.; and Tachtsis, E.; On a certain notion of finite and a finiteness class in set theory without choice. Bull. Pol. Acad. Sci. Math. 63 no. 2 (2015), 89-112.
[MR3433520] Gavryushkin, A.; Khoussainov, B.; and Stephan, F.; Reducibilities among equivalence relations induced by recursively enumerable structures. Theoret. Comput. Sci. 612 (2016), 137-152.
[MR3377354] Spinas, O. and Wyszkowski, M.; Silver Antichains. J. Symb. Log. 80 (2015), 503-519.
[Zbl 1328.03052] Usuba, T.; Characters of countably tight spaces and inaccessible cardinals. Topology Appl. 161 (2014), 95-106.

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