Results 21 to 30 of about 52 (52)
Tree-like graphings, wallings, and median graphings of equivalence relations
We prove several results showing that every locally finite Borel graph whose large-scale geometry is ‘tree-like’ induces a treeable equivalence relation.
Ruiyuan Chen +3 more
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We prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space
Jan Grebík
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Structural, point-free, non-Hausdorff topological realization of Borel groupoid actions
We extend the Becker–Kechris topological realization and change-of-topology theorems for Polish group actions in several directions. For Polish group actions, we prove a single result that implies the original Becker–Kechris theorems, as well as Sami’s ...
Ruiyuan Chen
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The definable content of homological invariants II: Čech cohomology and homotopy classification
This is the second installment in a series of papers applying descriptive set theoretic techniques to both analyze and enrich classical functors from homological algebra and algebraic topology.
Jeffrey Bergfalk +2 more
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In order to comprehend the link between the litter decomposition process and the formation of humus on the one hand, and the complex processes of transformation and disintegration of organic matter on the other, the time and space dynamics of humus ...
Pavlović, Pavle +3 more
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The aim of this research was examination of vitality of beech Fagus sylvatica L. in the mountain beech forest habitat, as well as vitality of individuals of spruce Picea abies Karst.
Pavlović, Pavle +6 more
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Both the total phenols and phenolic acids (PA) were analyzed in the litter and soil of the mixed Quercus robur-Fraxinus angustifolia forest with the autumnal truffle (Tuber macrosporum Vitt.).
Milenković, Miroljub +3 more
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On Strong Measure Zero Subsets of ...
This paper answers three questions posed in [1]. Theorem 2.7 The family of strong measure zero subsets of ! 1 2 is 2 @ 1 -additive under GMA and CH. Theorem 3.1 The generalized Borel conjecture is false in ! 1 2 assuming ZFC+CH.
Aapo Halko, Saharon Shelah
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A version of κ -Miller forcing. [PDF]
Mildenberger H, Shelah S.
europepmc +1 more source
Descriptive set-theoretical properties of an abstract density operator
Gła̧b Szymon
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