02918nam 2200529 450 991079544060332120180725081818.01-4704-4210-8(CKB)4340000000245809(MiAaPQ)EBC5291694(RPAM)19983116(PPN)224448897(EXLCZ)99434000000024580920180311h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierMedial-skeletal linking structures for multi-region configurations /James Damon, Ellen GasparovicProvidence, Rhode Island :American Mathematical Society,2017.©20171 online resource (180 pages)Memoirs of the American Mathematical Society,1947-6221 ;Volume 250, Number 11931-4704-2680-3 Includes bibliographical references at the end of each chapters.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.Memoirs of the American Mathematical Society ;Volume 250, Number 1193.Medial, skeletal linking structures for multi-region configurationsGeometry, DifferentialGeneralized spacesCompact spacesConfigurationsGeometry, Differential.Generalized spaces.Compact spaces.Configurations.516.36Damon James1945-1479866Gasparovic Ellen1984-MiAaPQMiAaPQMiAaPQBOOK9910795440603321Medial-skeletal linking structures for multi-region configurations3795884UNINA