03520nam 2200649 450 991047889820332120170821165751.00-8218-9923-6(CKB)3360000000464039(EBL)3113434(SSID)ssj0000973459(PQKBManifestationID)11948249(PQKBTitleCode)TC0000973459(PQKBWorkID)10959577(PQKB)11028301(MiAaPQ)EBC3113434(PPN)195410092(EXLCZ)99336000000046403920720526h19721972 uy| 0engur|n|---|||||txtccrEmbeddability and structure properties of real curves /by Sam B. Nadler, Jr. and J. QuinnProvidence :American Mathematical Society,[1972]©19721 online resource (82 p.)Memoirs of the American Mathematical Society ;number 125Description based upon print version of record.0-8218-1825-2 Bibliography: pages 74.""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""Memoirs of the American Mathematical Society ;no. 125.Metric spacesContinuityManifolds (Mathematics)CurvesTopological imbeddingsElectronic books.Metric spaces.Continuity.Manifolds (Mathematics)Curves.Topological imbeddings.514/.32Nadler Sam B.41885Quinn JosephMiAaPQMiAaPQMiAaPQBOOK9910478898203321Embeddability and structure properties of real curves2175477UNINA