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Embeddability and structure properties of real curves /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[1972]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 125. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 (e, n)-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 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.