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 107 for “"simplicial"”.
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Torsors over Simplicial Schemes
Let X be a simplicial object in a small Grothendieck site C, and let G be a sheaf of groups on C. We define a notion of G-torsor over X, generalizing a definition of Gillet, and prove that there is a bijection between the set of isomorphism classes of G-torsors over X, and the set of maps in the …
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Differential-Geometry on Simplicial Manifolds
Made available in DSpace on 2014-12-11T18:24:12Z (GMT). No. of bitstreams: 1 7500397.pdf: 3837794 bytes, checksum: 69f0ba6e6dbe180d1f2682f24eeb04a2 (MD5) Previous issue date: 1974
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Topological modeling with simplicial complexes
Simplicial complexes are useful for modeling shape of a discrete geometric domain and for discretizing continuous domains. A geometric triangulation of a point set S is a simplicial complex whose vertex set is contained in S and whose underlying space is the convex hull of S. In this thesis we …
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The semi-simplicial free lie ring
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1964
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Hodge Laplacians on simplicial meshes and graphs
… of exterior calculus for problems posed on simplicial discretization (meshes) of geometric manifolds and analogous problems on abstract simplicial complexes. We are primarily interested in discretizations of elliptic type partial differential equations, and our model problem is the Hodge …
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Field D* pathfinding in weighted simplicial complexes
… In this work, we extend Field D* to weighted simplicial complexes – specifically – triangulations in 2D and tetrahedral meshes in 3D.
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Simplicial and cubical complexes : anologies and differences
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Simplicial posets--f-vectors and free resolutions
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
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Ramsey regions and simplicial homology tables for graphs
… is examined in the setting of graphs. Various simplicial complexes can be assigned to a graph. For a given simplicial complex the persistence complex can be constructed, giving a highly detailed graph invariant. Connections between the graph and persistence complex are investigated.
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Simplifying and deforming through hierarchies of simplicial grids
… In the first part we study the maintenance of a simplicial grid under changing density requirements. The proposed method works in any fixed dimension and generates grids by projecting cross-sections of a monotone simplicial complex that lives in one dimension higher than the grid. The density of …
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Andre-Quillen homology for simplicial algebras and ring spectra
We discuss Andre-Quillen homology for simplicial algebras and algebras over simplicial algebras, extending the classical notion for rings. This extension is also discussed by Goerss and Hopkins, however our statements are proven in a more explicit way. We are then further able to construct spectral …
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Relations in the homotopy of simplicial abelian Hopf algebras
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Non-Commutative Probability for the Spectral Analysis of Simplicial Complexes
… a new interpretation of Betti numbers for simplicial complexes in terms of distributions in an operator-valued probability space. This thesis is mostly an exposition of the areas of free probability and algebraic topology; here, we do not present cutting-edge research in either free …
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Using the deformable simplicial complex to reconstruct surfaces from point clouds
… in this thesis a modification to the deformable simplicial complex method that allows it to reconstruct surfaces given only a point cloud extracted from a Wavefront .obj file. By creating a velocity function that moves the vertices of an existing tetrahedral mesh towards their respective closest …
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Nonparametric Multivariate Statistical Process Control Using Principal Component Analysis And Simplicial Depth
… a nonparametric control chart using robust simplicial depth ranks of the first and last set of principal components to improve signal detection in multivariate quality control with no distributional assumptions. The proposed technique has the advantages of ease of use and robustness in MSPC …
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Unstable operations in the Bousfield-Kan spectral sequence for simplicial commutative FF₂-algebras
… (BKSS) in the Quillen model category sCom of simplicial commutative FF₂ -algebras. We develop a theory of unstable operations for this BKSS and relate these operations with the known unstable operations on the homotopy of the target. We also prove a completeness theorem and a vanishing line …
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Simplicial Complexes and a Partial Classification of Almost Completely Decomposable Torsion Free Abelian Groups
The thesis treats the problem of how different two quasi-isomorphic groups can be.
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