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Record Nr. |
UNINA9910795440603321 |
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Autore |
Damon James <1945-> |
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Titolo |
Medial-skeletal linking structures for multi-region configurations / / James Damon, Ellen Gasparovic |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2017 |
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©2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (180 pages) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 250, Number 1193 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Generalized spaces |
Compact spaces |
Configurations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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Introduction -- Multi-Region Configurations in R[superscript n+1] -- Skeletal Linking Structures for Multi-Region Configurations in R[superscript n+1] -- Blum Medial Linking Structure for a Generic Multi-Region Configuration -- Retracting the Full Blum Medial Structure to a Skeletal Linking Structure -- Questions Involving Positional Geometry of a Multi-Region Configuration -- Shape Operators and Radial Flow for a Skeletal Structure -- Linking Flow and Curvature Conditions -- Properties of Regions Defined Using the Linking Flow -- Global Geometry via Medial and Skeletal Linking Integrals -- Positional Geometric Properties of Multi-Region Configurations -- Multi-Distance and Height-Distance Functions and Partial Multi-Jet Spaces -- Generic Blum Linking Properties via Transversality Theorems -- Generic Properties of Blum Linking Structures -- Concluding Generic Properties of Blum Linking Structures -- Reductions of the Proofs of the Transversality Theorems -- Families of Perturbations and their Infinitesimal Properties -- Completing the Proofs of the Transversality Theorems -- Appendix A: List of Frequently Used Notation -- Bibliography. |
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