Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 30 for “"Uncountable"”.
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The analysis, design, construction and testing of an experiment to study instabilities in distributed parameter systems of uncountable dimension
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1994.
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Hyperspace Topologies
… sets. One residual set is the collection of uncountable, closed subsets of R-n and the other residual set is the collection of closed subsets of R-n having n-dimensional Lebesgue measure zero. We conclude with the intersection of these two sets being a residual set representing the collection …
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The Uniform Box Product of Some Spaces With One Non-Isolated Point
… Jocelyn Bell studied the properties of the uncountable Fort space and showed that it was normal, countably paracompact, and collectionwise Hausdorff. This paper answers some of the questions posed in that thesis and shows the space to be collectionwise normal, but not paracompact. We also …
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Lexicographic Products of Linear Orderings
… = kappa for each kappa ≥ o1; (ii) if M is an uncountable linear ordering with the property that A xlex 2 is not order-embeddable in M for each uncountable A ⊆ M, then repr M( Malex ) = alpha for any ordinal alpha; in particular, reprR ( Ralex ) = alpha; (iii) if L is either an Aronszajn …
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Better-Quasi-Orders: Extensions and Abstractions
… Shelah's notion of better-quasi-orders for uncountable cardinals, and prove that the corresponding modi�cation of his de�nition using fronts instead of barriers is equivalent. This gives rise to a natural version of Simpson's de�nition of better-quasiorder for uncountable cardinals, even in …
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Infinite Planar Graphs
… The results of this paper show that there are an uncountable number of geodesic fibers for graphs in this extended class and that for any graph in this extended class the only bounded automorphism is the identity automorphism.
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On the Convergence and Divergence of Q-Continued Fractions on and Off the Unit Circle
… fractions, diverge in the general sense at an uncountable set of points on the unit circle. We also show that the Rogers-Ramanujan continued fraction converges generally at all roots of unity (in contrast to classical convergence) and that it does not converge generally at any point outside the …
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Differentiability, Continuity, and Existence of Limits
… where the function is continuous is dense, uncountable, and has the same cardinality as R.
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Complexity hierarchies in generalized descriptive set theory
… a cardinal-independent approach, working with uncountable cardinals κ under the sole assumption that 2<κ = κ, thereby encompassing both regular and singular cardinals. Second, whenever feasible, we move beyond the generalized Cantor and Baire spaces, carrying out the analysis in broader classes …
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Zero-dimensional spaces and their inverse limits
… spaces and their inverse limits. We construct an uncountable family of zero-dimensional compact metric spaces homeomorphic to their Cartesian squares. It is known that the inverse limit on [0,1] with an upper semi-continuous function with a connected graph has either one or infinitely many points. …
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First Cohomology of Some Infinitely Generated Groups
… which results fail to hold in the general uncountable case. Lastly, we present results regarding reduced cohomology, including a useful lemma extending vanishing results for finitely generated groups to the infinitely generated case.
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Topological Dynamics of Automorphism Groups of omega-homogeneous Structures via Near Ultrafilters
… and structural Ramsey theory from countable to uncountable structures. This allows us to provide new examples of explicit descriptions of universal minimal flows as well as of extremely amenable groups. We identify new classes of finite structures satisfying the Ramsey property and apply the …
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The Space of Left Orders on a Group
… orders placed on a particular group is finite or uncountable. We prove the latter by creating a homeomorphism from the group to the Cantor set, a set which is known for its uncountability.
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Maximal Saturated Linear Orders
… containing no gaps of order type the first uncountable cardinal? In Chapter 1, some terminology is defined, and Hausdorff's question about pantachies is explored. Some related work by other mathematicians is examined, both preceding and following Hausdorff's paper. In Chapter 2, relevant …
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Ontology and the foundations of mathematics
… we should accept instances of replacement on uncountable sets, for these are indeed rarely used outside higher set theory. We argue that the best case for (uncountable) replacement comes not from direct, intuitive considerations, but from the role replacement plays in the formulation of …
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Complex Vector Lattices: Tensor Products And Multilinear Maps
… is not a complex vector lattice when X and Y are uncountable metrizable compact spaces. The vector lattice complexification is employed to construct an Archimedean complex vector lattice tensor product, powers of Archimedean complex vector lattices, and the symmetric (antisymmetric) Archimedean …
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Robustness and Adaptation via a Generative Model of Policies in Reinforcement Learning
In the natural world, life has found an uncountable number of ways to survive and often thrive. Between and even within species, each individual has a slightly unique way of existing, and this diversity lends robustness to life in general. In this work, we aim to incentivize diversity of agent …
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Invisible Ink : blockchain for data privacy
… ours and under our control is now spread among uncountable entities across many locations. We have built a platform that securely distributes encrypted user-sensitive data. It uses the Bitcoin blockchain to keep a trust-less audit trail for data interactions and to manage access to user data. …
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