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A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie
| A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie |
| Autore | Goodwillie Thomas G (Thomas Gehret), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (329 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Concordances (Topology)
Embeddings (Mathematics) Piecewise linear topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0854-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 semi�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"" |
| Record Nr. | UNINA-9910480519103321 |
Goodwillie Thomas G (Thomas Gehret), <1954->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie
| A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie |
| Autore | Goodwillie Thomas G (Thomas Gehret), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (329 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Concordances (Topology)
Embeddings (Mathematics) Piecewise linear topology |
| ISBN | 1-4704-0854-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table Of Contents -- Abstract -- INTRODUCTION -- A. Spaces of Concordances -- B. Known Results -- C. The Multiple Disjunction Lemma -- D. Sketch of the Proof -- PRELIMINARIES -- Chapter II. The Collection Z of Multijet Sets -- A. Invariant Algebraic sets of complex multijets -- B. Operations on Sets of multijets -- C. Z -- D. Singular Sets for fibered Concordances -- Chapter III. Proof of theorem D -- A. Structure of the Proof -- B. Proof of (189) -- C. (189)[sub(a+1)] ==> (189)[sub(α)] -- D. One Last Sunny Collapse -- Bibliography. |
| Record Nr. | UNINA-9910788873903321 |
|
Goodwillie Thomas G (Thomas Gehret), <1954->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie
| A multiple disjunction lemma for smooth concordance embeddings / / Thomas G. Goodwillie |
| Autore | Goodwillie Thomas G (Thomas Gehret), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (329 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Concordances (Topology)
Embeddings (Mathematics) Piecewise linear topology |
| ISBN | 1-4704-0854-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table Of Contents -- Abstract -- INTRODUCTION -- A. Spaces of Concordances -- B. Known Results -- C. The Multiple Disjunction Lemma -- D. Sketch of the Proof -- PRELIMINARIES -- Chapter II. The Collection Z of Multijet Sets -- A. Invariant Algebraic sets of complex multijets -- B. Operations on Sets of multijets -- C. Z -- D. Singular Sets for fibered Concordances -- Chapter III. Proof of theorem D -- A. Structure of the Proof -- B. Proof of (189) -- C. (189)[sub(a+1)] ==> (189)[sub(α)] -- D. One Last Sunny Collapse -- Bibliography. |
| Record Nr. | UNINA-9910827764103321 |
|
Goodwillie Thomas G (Thomas Gehret), <1954->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett
| Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett |
| Autore | Millett Kenneth C. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Piecewise linear topology
Concordances (Topology) Isotopies (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9954-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""SECTION 1 DEFINITIONS AND STATEMENTS OF RESULTS""; ""1.8 Main Theorem""; ""1.9 Concordance-Isotopy for disks""; ""1.14 Concordance-Isotopy for manifolds""; ""1.16 Dimensional restrictions in Theorem 1.8""; ""SECTION 2 PROOFS OF CONSEQUENCES OF THEOREM 1.8""; ""2.1 Proof of Theorem 1.9""; ""2.7 Proof of Theorem 1.12, main argument for Theorem 1.14""; ""2.11 Handle lemma for Theorem 1.12""; ""2.18 Proof of Proposition 1.17""; ""SECTION 3 FIBERED GENERAL POSITION""; ""3.4 Main general position lemma""; ""3.12 Special general position lemma""
""SECTION 4 FIBERED SUNNY COLLAPSING""""4.3 Elementary fibered cylindrical collapse""; ""4.6 Fibered sunny collapsing after Hudson""; ""4.16 Special fibered sunny collapsing""; ""SECTION 5 FIBERED LOCAL MODIFICATIONS VIA ENGULFING""; ""5.1 Main engulfing theorem for concordances""; ""5.2 Fibered engulfing lemma""; ""SECTION 6 FIBERED GLOBAL MODIFICATIONS""; ""6.1 Proof of Theorem 1.8""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480713503321 |
|
Millett Kenneth C.
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett
| Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett |
| Autore | Millett Kenneth C. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Piecewise linear topology
Concordances (Topology) Isotopies (Topology) |
| ISBN | 0-8218-9954-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""SECTION 1 DEFINITIONS AND STATEMENTS OF RESULTS""; ""1.8 Main Theorem""; ""1.9 Concordance-Isotopy for disks""; ""1.14 Concordance-Isotopy for manifolds""; ""1.16 Dimensional restrictions in Theorem 1.8""; ""SECTION 2 PROOFS OF CONSEQUENCES OF THEOREM 1.8""; ""2.1 Proof of Theorem 1.9""; ""2.7 Proof of Theorem 1.12, main argument for Theorem 1.14""; ""2.11 Handle lemma for Theorem 1.12""; ""2.18 Proof of Proposition 1.17""; ""SECTION 3 FIBERED GENERAL POSITION""; ""3.4 Main general position lemma""; ""3.12 Special general position lemma""
""SECTION 4 FIBERED SUNNY COLLAPSING""""4.3 Elementary fibered cylindrical collapse""; ""4.6 Fibered sunny collapsing after Hudson""; ""4.16 Special fibered sunny collapsing""; ""SECTION 5 FIBERED LOCAL MODIFICATIONS VIA ENGULFING""; ""5.1 Main engulfing theorem for concordances""; ""5.2 Fibered engulfing lemma""; ""SECTION 6 FIBERED GLOBAL MODIFICATIONS""; ""6.1 Proof of Theorem 1.8""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788616503321 |
|
Millett Kenneth C.
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett
| Piecewise linear concordances and isotopies / / [by] Kenneth C. Millett |
| Autore | Millett Kenneth C. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (80 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Piecewise linear topology
Concordances (Topology) Isotopies (Topology) |
| ISBN | 0-8218-9954-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""SECTION 1 DEFINITIONS AND STATEMENTS OF RESULTS""; ""1.8 Main Theorem""; ""1.9 Concordance-Isotopy for disks""; ""1.14 Concordance-Isotopy for manifolds""; ""1.16 Dimensional restrictions in Theorem 1.8""; ""SECTION 2 PROOFS OF CONSEQUENCES OF THEOREM 1.8""; ""2.1 Proof of Theorem 1.9""; ""2.7 Proof of Theorem 1.12, main argument for Theorem 1.14""; ""2.11 Handle lemma for Theorem 1.12""; ""2.18 Proof of Proposition 1.17""; ""SECTION 3 FIBERED GENERAL POSITION""; ""3.4 Main general position lemma""; ""3.12 Special general position lemma""
""SECTION 4 FIBERED SUNNY COLLAPSING""""4.3 Elementary fibered cylindrical collapse""; ""4.6 Fibered sunny collapsing after Hudson""; ""4.16 Special fibered sunny collapsing""; ""SECTION 5 FIBERED LOCAL MODIFICATIONS VIA ENGULFING""; ""5.1 Main engulfing theorem for concordances""; ""5.2 Fibered engulfing lemma""; ""SECTION 6 FIBERED GLOBAL MODIFICATIONS""; ""6.1 Proof of Theorem 1.8""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827426603321 |
|
Millett Kenneth C.
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of the rational concordance group of knots / / Jae Choon Cha
| The structure of the rational concordance group of knots / / Jae Choon Cha |
| Autore | Cha Jae Choon <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0489-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
| Record Nr. | UNINA-9910481047703321 |
|
Cha Jae Choon <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of the rational concordance group of knots / / Jae Choon Cha
| The structure of the rational concordance group of knots / / Jae Choon Cha |
| Autore | Cha Jae Choon <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
| ISBN | 1-4704-0489-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
| Record Nr. | UNINA-9910788745203321 |
|
Cha Jae Choon <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of the rational concordance group of knots / / Jae Choon Cha
| The structure of the rational concordance group of knots / / Jae Choon Cha |
| Autore | Cha Jae Choon <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
| ISBN | 1-4704-0489-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
| Record Nr. | UNINA-9910827663903321 |
|
Cha Jae Choon <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Unraveling the integral knot concordance group / / Neal W. Stoltzfus
| Unraveling the integral knot concordance group / / Neal W. Stoltzfus |
| Autore | Stoltzfus Neal W. <1946-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina |
510/.8 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Knot theory
Concordances (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0153-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Section One: Isometric Structures""; ""Section Two: The Localization Exact Sequence""; ""Section Three: The Coupling Invariants""; ""Section Four: The Transfer Computation""; ""Section Five: The Integral Knot Concordance Group""; ""Section Six: Geometric Applications""; ""Bibliography"" |
| Record Nr. | UNINA-9910480678803321 |
|
Stoltzfus Neal W. <1946->
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| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
