LEADER 02918nam 2200529 450 001 9910795440603321 005 20180725081818.0 010 $a1-4704-4210-8 035 $a(CKB)4340000000245809 035 $a(MiAaPQ)EBC5291694 035 $a(RPAM)19983116 035 $a(PPN)224448897 035 $a(EXLCZ)994340000000245809 100 $a20180311h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMedial-skeletal linking structures for multi-region configurations /$fJames Damon, Ellen Gasparovic 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2017. 210 4$dİ2017 215 $a1 online resource (180 pages) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 250, Number 1193 311 $a1-4704-2680-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Multi-Region Configurations in R[superscript n+1] -- Skeletal Linking Structures for Multi-Region Configurations in R[superscript n+1] -- Blum Medial Linking Structure for a Generic Multi-Region Configuration -- Retracting the Full Blum Medial Structure to a Skeletal Linking Structure -- Questions Involving Positional Geometry of a Multi-Region Configuration -- Shape Operators and Radial Flow for a Skeletal Structure -- Linking Flow and Curvature Conditions -- Properties of Regions Defined Using the Linking Flow -- Global Geometry via Medial and Skeletal Linking Integrals -- Positional Geometric Properties of Multi-Region Configurations -- Multi-Distance and Height-Distance Functions and Partial Multi-Jet Spaces -- Generic Blum Linking Properties via Transversality Theorems -- Generic Properties of Blum Linking Structures -- Concluding Generic Properties of Blum Linking Structures -- Reductions of the Proofs of the Transversality Theorems -- Families of Perturbations and their Infinitesimal Properties -- Completing the Proofs of the Transversality Theorems -- Appendix A: List of Frequently Used Notation -- Bibliography. 410 0$aMemoirs of the American Mathematical Society ;$vVolume 250, Number 1193. 517 3 $aMedial, skeletal linking structures for multi-region configurations 606 $aGeometry, Differential 606 $aGeneralized spaces 606 $aCompact spaces 606 $aConfigurations 615 0$aGeometry, Differential. 615 0$aGeneralized spaces. 615 0$aCompact spaces. 615 0$aConfigurations. 676 $a516.36 700 $aDamon$b James$f1945-$01479866 702 $aGasparovic$b Ellen$f1984- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910795440603321 996 $aMedial-skeletal linking structures for multi-region configurations$93795884 997 $aUNINA