Katětov order on Borel ideals
M Hrušák - Archive for Mathematical Logic, 2017 - Springer
We study the Katětov order on Borel ideals. We prove two structural theorems (dichotomies),
one for Borel ideals, the other for analytic P-ideals. We isolate nine important Borel ideals …
one for Borel ideals, the other for analytic P-ideals. We isolate nine important Borel ideals …
Topology of mrówka-isbell spaces
F Hernández-Hernández, M Hrušák - … Spaces: A Survey of Classic and …, 2018 - Springer
An infinite family A of infinite subsets of the natural numbers, ω, is almost disjoint (AD) if the
intersection of any two distinct elements of A is finite. It is maximal almost disjoint (MAD) if …
intersection of any two distinct elements of A is finite. It is maximal almost disjoint (MAD) if …
Almost disjoint families and topology
M Hrušák - Recent Progress in General Topology III, 2013 - Springer
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Construction schemes: transferring structures from to
JAC Chapital, O Guzmán, S Todorcevic - arXiv preprint arXiv:2304.07624, 2023 - arxiv.org
A structural analysis of construction schemes is developed. That analysis is used to give
simple and new constructions of combinatorial objects which have been of interest to set …
simple and new constructions of combinatorial objects which have been of interest to set …
On construction schemes: building the uncountable from finite pieces
JAC Chapital - arXiv preprint arXiv:2406.04376, 2024 - arxiv.org
In this Phd. thesis, a structural analysis of construction schemes is developed. The
importance of this study will be justified by constructing several distinct combinatorial objects …
importance of this study will be justified by constructing several distinct combinatorial objects …
Katětov Order on Mad Families
O Guzmán - The Journal of Symbolic Logic, 2024 - cambridge.org
We continue with the study of the Katětov order on MAD families. We prove that Katětov
maximal MAD families exist under This improves previously known results from the …
maximal MAD families exist under This improves previously known results from the …
More on MAD families and P-points
S Garcia-Ferreira, O Guzmán - Topology and its Applications, 2022 - Elsevier
More on MAD families and P-points - ScienceDirect Skip to main contentSkip to article
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P-points, MAD families and Cardinal invariants
O Guzmán - arXiv preprint arXiv:1810.09680, 2018 - arxiv.org
This is the Ph. D. thesis of the author, which was written under the supervision of Michael
Hru\v {s}\'{a} k at UNAM. The main contributions of this thesis are the following: There is a $+ …
Hru\v {s}\'{a} k at UNAM. The main contributions of this thesis are the following: There is a $+ …