Results 51 to 60 of about 6,858,530 (350)
Cohesive sets: countable and uncountable [PDF]
Proceedings of the American Mathematical Society, 1974 We show that many uncountable admissible ordinals (including some cardinals) as well as all countable admissible ordinals have cohesive subsets. Exactly which cardinals have cohesive subsets, however, is shown to depend on set-theoretic assumptions such as V = L V = L or a large cardinal axiom.
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Partitioning Pairs of Countable Sets [PDF]
Proceedings of the American Mathematical Society, 1991 We make the translations of our partitions from [3] in the context of all countable subsets of a fixed uncountable set. A different translation was obtained recently by Velleman [4]. The purpose of this paper is to define a two-cardinal version of one of our partitions from [3]. Theorem.
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On γ−countably paracompact sets [PDF]
Acta Universitatis Sapientiae, Mathematica, 2020 Abstract In this paper we introduce and study a new class of sets, namely γ−countably paracompact sets. We characterize γ−countably paracompact sets and we study some of its basic properties. We obtain that this class of sets is weaker than α−countably paracompact sets and stronger than β−countably paracompact sets.
Rawshdeh Amani +3 more
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On the Billingsley dimension of Birkhoff average in the countable symbolic space
Comptes Rendus. Mathématique, 2020 We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic space $\mathbb{N}^{\mathbb{N}}$.
Attia, Najmeddine, Selmi, Bilel
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A countable definable set containing no definable elements [PDF]
, 2014 The consistency of the existence of a countable definable set of reals, containing no definable elements, is established. The model, where such a set exists, is obtained by means of a countable product of Jensen’s forcing with finite support.
V. Kanovei, V. Lyubetsky
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On weaker forms of compactness Lindelöfness and countable compactness
International Journal of Mathematics and Mathematical Sciences, 1990 A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed.
D. Baboolal, J. Backhouse, R. G. Ori
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Some classes of topological spaces related to zero-sets
Applied General Topology, 2022 An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero ...
F. Golrizkhatami, Ali Taherifar
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
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Bohr sets in sumsets II: countable abelian groups
Forum of Mathematics, Sigma, 2023 We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting G be a countable discrete abelian group and $\phi _1, \phi _2, \phi _3: G \to G$ be commuting endomorphisms whose images have finite indices,
John T. Griesmer +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács +8 more
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