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200 10$aEmbeddability and structure properties of real curves /$fby Sam B. Nadler, Jr. and J. Quinn
210  1$aProvidence :$cAmerican Mathematical Society,$d[1972]
210  4$d©1972
215   $a1 online resource (82 p.)
225 1 $aMemoirs of the American Mathematical Society ;$vnumber 125
300   $aDescription based upon print version of record.
311   $a0-8218-1825-2 
320   $aBibliography: pages 74.
327   $a""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""""
327   $a""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 (I??, I?»)-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 a??? in the plane""; ""Lemma 5.6""; ""Non-embeddability Theorem""
327   $a""6. MORE ABOUT EMBEDDINGS OF REAL CURVES""""Definition of standard embedding of M in the plane""; ""Planar Embedding Theorem for Real Curves""; ""Definition of admissible pattern with respect to N[sub(1)] beyond u""; ""Toroidal Embedding Theorem""; ""Two-manifold Embedding Theorem""; ""Problem 6.1""; ""Theorem on Weak Chainability of Planar Real Curves""; ""Problem 6.2""; ""7. THE MORE GENERAL CONDITION OF LOCAL COMPACTNESS""; ""Theorem 7.2""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$vno. 125.
606   $aMetric spaces
606   $aContinuity
606   $aManifolds (Mathematics)
606   $aCurves
606   $aTopological imbeddings
608   $aElectronic books.
615  0$aMetric spaces.
615  0$aContinuity.
615  0$aManifolds (Mathematics)
615  0$aCurves.
615  0$aTopological imbeddings.
676   $a514/.32
700   $aNadler$b Sam B.$041885
702   $aQuinn$b Joseph
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910478898203321
996   $aEmbeddability and structure properties of real curves$92175477
997   $aUNINA