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Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910478898203321 |
Nadler Sam B.
|
||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788613703321 |
|
Nadler Sam B.
|
||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn
| Embeddability and structure properties of real curves / / by Sam B. Nadler, Jr. and J. Quinn |
| Autore | Nadler Sam B. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1972] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Continuity Manifolds (Mathematics) Curves Topological imbeddings |
| ISBN | 0-8218-9923-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""1. INTRODUCTION AND BASIC DEFINITIONS""; ""Definition of half-ray curve and real curve""; ""Structure Theorem for Half-ray Curves""; ""Embedding Theorem for Half-ray Curves""; ""Definition of K[sub(+)] , K_ , and singular sets""; ""Remark 1.1""; ""2. STRUCTURE THEOREMS""; ""Structure Theorem for K[sub(+)] and K_""; ""Structure Theorem for Real Curves""; ""Corollary 2.1""; ""3. PARAMETERIZATION""; ""Parameterization Theorem""; ""4. SOME EXAMPLES OF REAL CURVES""; ""Figure 1 - ""Moby Dick""""; ""Figure 2 (i) and Figure 2 (ii)""; ""Figure 3 - ""Coffee-percolator""""
""Figure 4 - ""Upside-down-elephant""""""Figure 5 - ""Badly-cracked-egg""""; ""Figure 6 - ""Fry-pan-on-a-grill""""; ""Figure 7 - ""Spider-on-a-thread""""; ""5. EMBEDDING""; ""Embedding Theorem for Real Curves""; ""Definition of noose-like chain""; ""Definition of property y""; ""Definition of (Î?, λ)-admissible link with center x[sub(1)]""; ""Definition of ""admissible"" noose-like chain""; ""Definition of admissible component of S, A(S)""; ""Remark 5.1""; ""Definition of standard embedding of â?? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem"" ""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827786703321 |
|
Nadler Sam B.
|
||
| Providence : , : American Mathematical Society, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||