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Forcing closed unbounded subsets of \(\aleph_{\omega_{1}+1}\)
The Journal of Symbolic Logic, 2013 Summary: Using square sequences, a stationary subset \(S_T\) of \(\aleph_{\omega_{1}+1}\) is constructed from a tree \(T\) of height \(\omega_1\), uniformly in \(T\). Under suitable hypotheses, adding a closed unbounded subset to \(S_T\) requires adding a cofinal branch to \(T\) or collapsing at least one of \(\omega_1\), \(\aleph_{\omega_{1}}\), and \(
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Extensions defined using bornologies
Applied General Topology, 2013 Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [ Y , provided there exists a map, satisfying some conditions, from a basis of Y into the family ...
Alessandro Caterino, M. Cristina Vipera
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On the existence of large subsets of [λ] κ which contain no unbounded non-stationary subsets
Archive for Mathematical Logic, 2002 Here we deal with some problems posed by Matet. The first section deals with the existence of stationary subsets of [lambda]^{
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On non-separable components of hyperspaces with the Hausdorff metric [PDF]
Математичні Студії, 2011 Let $(X,d)$ be a connected non compact metric space. Suppose the metric$d$ convex and such that every closed bounded subset of $X$ is compact. Let $F(X)$ bethe space of nonvoid closed subsets of $X$ with the Hausdorff distance associated to $d$.We prove ...
R. Cauty
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Abstract and Applied Analysis, 2013 We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone.
Ren-you Zhong +2 more
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Adding Closed Unbounded Subsets of ω₂ with Finite Forcing
Notre Dame Journal of Formal Logic, 2005 An outline is given of the proof that the consistency of a κ⁺-Mahlo cardinal implies that of the statement that I[ω₂] does not include any stationary subsets of Cof(ω₁). An additional discussion of the techniques of this proof includes their use to obtain a model with no ω₂-Aronszajn tree and to add an ω₂-Souslin tree with finite conditions.
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Fat subsets of P kappa (lambda) [PDF]
, 2016 For a subset of a cardinal greater than ω1, fatness is strictly stronger than stationarity and strictly weaker than being closed unbounded. For many regular cardinals, being fat is a sufficient condition for having a closed unbounded subset in some ...
Zaigralin, Ivan
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Edge Currents for Quantum Hall Systems, I. One-Edge, Unbounded Geometries
, 2007 Devices exhibiting the integer quantum Hall effect can be modeled by one-electron Schroedinger operators describing the planar motion of an electron in a perpendicular, constant magnetic field, and under the influence of an electrostatic potential.
Cycon H. +5 more
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Physical Review Research, 2020 Measurements in quantum theory exhibit incompatibility, i.e., they can fail to be jointly measurable. An intuitive way to represent the (in)compatibility relations among a set of measurements is via a hypergraph representing their joint measurability ...
Nikola Andrejic, Ravi Kunjwal
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Edge Currents for Quantum Hall Systems, II. Two-Edge, Bounded and Unbounded Geometries
, 2007 Devices exhibiting the integer quantum Hall effect can be modeled by one-electron Schroedinger operators describing the planar motion of an electron in a perpendicular, constant magnetic field, and under the influence of an electrostatic potential.
Hislop, Peter D., Soccorsi, Eric
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