03540nam 2200589 450 991048051910332120180613001300.01-4704-0854-6(CKB)3360000000464615(EBL)3114012(SSID)ssj0000889079(PQKBManifestationID)11488385(PQKBTitleCode)TC0000889079(PQKBWorkID)10876421(PQKB)10865972(MiAaPQ)EBC3114012(PPN)195413148(EXLCZ)99336000000046461520140908h19901990 uy 0engur|n|---|||||txtccrA multiple disjunction lemma for smooth concordance embeddings /Thomas G. GoodwillieProvidence, Rhode Island, United States :American Mathematical Society,1990.©19901 online resource (329 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 86, Number 431"July 1990, Volume 86, Number 431 (first of 2 numbers)"--Cover.0-8218-2493-7 Includes bibliographical references.""TABLE OF CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""A. Spaces of Concordances""; ""B. Known Results""; ""C. The Multiple Disjunction Lemma""; ""D. Sketch of the Proof""; ""1. The overall plan""; ""2. A stratification""; ""a. Operation B""; ""b. Operation C°""; ""c. Operation A""; ""d. Operation D""; ""e. Operation C""; ""f. The stratification""; ""3. Why the stratification is a stratification""; ""a. ""Relative semiâ€?algebraicity""""; ""b. The Hilbert variety""; ""4. Keeping track of the ordering""; ""5. Using the stratification""; ""PRELIMINARIES""; ""A. Definitions, etc""""b. Rangeâ€?invariance""""c. S (Z, P,N)""; ""B. Operations on Sets of Multijets""; ""1. Operation A""; ""2. Operation B""; ""3. Operation C (and C°)""; ""4. Operation D""; ""5. The operations preserve invariance""; ""C. Z""; ""1. Formal facts""; ""2. Codimension""; ""3. Goodness and badness""; ""D. Singular Sets for Fibered Concordances""; ""1. General position with respect to Z""; ""2. Singular sets""; ""a. S[sub(α)](F)""; ""b. W[sub(α)](F)""; ""i. Operation A""; ""ii. Operation D""; ""iii. Operation B""; ""iv. Operation C""; ""c. W[sub(α)] [sup((D,R))](F)""; ""III. PROOF OF THEOREM D""""A. Structure of the Proof""""B. Proof of (189)[sub(α)[sub(0)])]""; ""C. (189)[sub(a+1)] â?? (189)[sub(α)]""; ""1. Reduction to Claim 113""; ""2. Proof of Claim 113: beginning""; ""3. Reduction to (206)[sub(0)]""; ""4. Proof of (206)[sub(α)]""; ""5. (206)[sub(β+1)] â?? (206)[sub(β)]""; ""a. Reduction to Claim 117""; ""b. Proof of Claim 117""; ""D. One Last Sunny Collapse""; ""BIBLIOGRAPHY""Memoirs of the American Mathematical Society ;Volume 86, Number 431.Concordances (Topology)Embeddings (Mathematics)Piecewise linear topologyElectronic books.Concordances (Topology)Embeddings (Mathematics)Piecewise linear topology.514Goodwillie Thomas G(Thomas Gehret),1954-903037MiAaPQMiAaPQMiAaPQBOOK9910480519103321A multiple disjunction lemma for smooth concordance embeddings2018705UNINA