Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Michael Hrušák"'
Autor:
Osvaldo Guzmán, Michael Hrušák
Publikováno v:
European Journal of Mathematics. 8:309-334
Publikováno v:
Journal of Mathematical Logic. 23
A question dating to Mardešić and Prasolov’s 1988 work [S. Mardešić and A. V. Prasolov, Strong homology is not additive, Trans. Amer. Math. Soc. 307(2) (1988) 725–744], and motivating a considerable amount of set theoretic work in the years s
Publikováno v:
The Journal of Symbolic Logic. 86:855-870
We investigate the Tukey order in the class of $F_{\sigma }$ ideals of subsets of $\omega $ . We show that no nontrivial $F_{\sigma }$ ideal is Tukey below a $G_{\delta }$ ideal of compact sets. We introduce the notions of flat ideals and gradually f
Publikováno v:
Israel Journal of Mathematics. 242:769-795
An interval algebra is a Boolean algebra which is isomorphic to the algebra of finite unions of half-open intervals, of a linearly ordered set. An interval algebra is hereditary if every subalgebra is an interval algebra. We answer a question of M. B
Publikováno v:
Fundamenta Mathematicae. 254:15-47
An almost disjoint family $\mathcal A$ of subsets of $\mathbb N$ is said to be $\mathbb R$-embeddable if there is a function $f:\mathbb N\rightarrow \mathbb R$ such that the sets $f[A]$ are ranges of real sequences converging to distinct reals for di
Publikováno v:
Transactions of the Americal Mathematical Society, 374(2), 1277-1296. American Mathematical Society
We construct, in $\mathsf{ZFC}$, a countably compact subgroup of $2^{\mathfrak{c}}$ without non-trivial convergent sequences, answering an old problem of van Douwen. As a consequence we also prove the existence of two countably compact groups $\mathb
Publikováno v:
Acta Mathematica Hungarica. 163:309-322
An infinite graph is highly connected if the complement of any subgraph of smaller size is connected. We consider weaker versions of Ramsey’s Theorem asserting that in any coloring of the edges of a complete graph there exist large highly connected
Publikováno v:
Topology and its Applications. 323:108274
Autor:
Mirna Džamonja, Joan Hart, Andrea Medini, Andrés Villaveces, István Juhász, H. Jerome Keisler, Steffen Lempp, Arnold W Miller, Justin Tatch Moore, Frank Tall, Alan Dow, Michael Hrušák, Jan van Mill, Stephen Jackson, Donald A Martin, Peter Nyikos, Dilip Raghavan, John Steel, Hugh Woodin
Publikováno v:
Notices of the American Mathematical Society. 69:1
Publikováno v:
The Journal of Symbolic Logic. 85:149-165
Let ${\cal I}$ be an ideal on ω. By cov${}_{}^{\rm{*}}({\cal I})$ we denote the least size of a family ${\cal B} \subseteq {\cal I}$ such that for every infinite $X \in {\cal I}$ there is $B \in {\cal B}$ for which $B\mathop \cap \nolimits X$ is inf