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 16 of 16 for “"Topological Complexity"”.
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Topological Complexity of Configuration Spaces
… we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem. We study relations between the topological complexity of a space and its fundamental …
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Equivariant LS-Category and Equivariant Topological Complexity
In this thesis we consider topological spaces endowed with an action of a topological group, and we develop a new concept to study these spaces. This concept is called orbit class and is often a good replacement for the well-known concept or- bit type. Using the concept of orbit class, we de ne a …
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Some problems in polynomial interpolation and topological complexity
… discontinuous motion planning algorithm for a topological space X is measured by an integer invariant of X called topological complexity or TC(X). Yuzvinsky developed a combinatorial criterion for hyperplane arrangement complements which guarantees that their topological complexity is as large …
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Norms on cohomology, harmonic forms, eigenvalues and minimal surfaces in hyperbolic manifolds
… orientable cusped hyperbolic 3-manifold M by its topological complexity, measured by the Thurston norm, up to a constant depending on M. It generalizes two inequalities of Brock-Dunfield. We also study the sharpness of the inequalities in the closed and cusped cases, using the interaction of …
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Topological analysis of microtubules during cell division
… to characterize the single and multi-chain topological complexity of such systems. We create computational methods for analyzing the topology of microtubules obtained through large electron tomography data. Our results show that the geometry/topology and entanglement of microtubules changes …
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Simplifying The Non-Manifold Topology Of Multi-Partitioning Surface Networks
… data and might contain complex geometric and topological features. There has been much research on reducing the geometric complexity of a general surface: non-manifold or not) and the topological complexity of a closed, manifold surface. But there has been no attempt so far to reduce redundant …
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Centralizers in automorphism groups
… In the second chapter, we investigate the topological complexity of the set of n-th powers in the group of isometries of Baire space. We prove that for n > 1, this set is not Borel. In the third chapter, we investigate topological similarity, an equivalence re- lation on a Polish group …
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Automated motion planning for robotic assembly of discrete architectural structures
… robotic motion grows increasingly with the topological complexity of the target design. This gap between parametric design and robotic fabrication congests the overall digital design/production process and often confines designers to geometries with standard topology. In the goal of filling …
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ENGINEERING THE COMPLEX ELECTRICAL RESPONSE OF METALLIC CLUSTER-ASSEMBLED FILMS FOR NEUROMORPHIC COMPUTING APPLICATIONS
… physical substrate for this scope due to their topological complexity, non-linear conduction properties, and plasticity. A key role in determining MCAF conduction properties is played by their ability to undergo reversible structural modifications, thus producing changes in their electric …
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Topology and geometry-based methods for quantifying the complexity of protein structures
New topological and geometrical methods in knot theory provide a way to rigorously measure the entanglement of open curves in 3-space for the first time. These methods enable the topological analysis of physical systems of filaments, such as those formed by proteins. In this dissertation we employ …
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Evaluating interactive network visualisations: a case study using the cell Signalling Visualisation Toolkit
… into cell behaviour. The dynamic nature and topological complexity of these pathways gives cells the ability to adapt to a wide range of perturbations and can make cells resistant to drug therapy. Systems biology models provide the means to simulate signalling pathways and their dynamics and …
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Structural complexity and its implications for design of cyber-physical systems
… in terms of schedule and cost performance. The complexity of technical systems depends on the quantity of different elements and their connectivity, i.e., complexity means a measurable system characteristic. There are three main dimensions of complexity that emerged in the context of system …
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Visible-light-mediated synthetic strategies for the synthesis of α-tertiary amine derivatives
… this fragment have a high degree of structural complexity. This increased topological complexity has the result that α-tertiary amines often display physiochemical properties that make them ideal candidates for lead generation in medicinal chemistry campaigns. The importance of this structure is …
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Unravelling the complexity of metabolic networks
… studies have revealed a number of universal topological characteristics, such as a small average path-length, large clustering coecient and a hierarchical modular structure. Relations between structure, function and evolution, however, for even the simplest of organisms is far from …
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Enabling New Material and Process Capabilities for Ultraviolet-Assisted Direct Ink Write Additive Manufacturing via Exploration of Material Rheology and Reactivity
… materials (2) lack of feature resolution and topological complexity of printed parts and (3) lack of material screening models providing robust definition of the material requirements (e.g., viscosity, cure time, strength) for successful UV-DIW printing. To address these shortcomings, the goal …