Coverart for item
The Resource 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

Label
Embeddability and structure properties of real curves
Title
Embeddability and structure properties of real curves
Statement of responsibility
by Sam B. Nadler, Jr. and J. Quinn
Creator
Contributor
Author
Subject
Language
eng
Member of
Cataloging source
E7B
http://library.link/vocab/creatorName
Nadler, Sam B
Dewey number
  • 510/.8 s
  • 514/.32
Illustrations
illustrations
Index
no index present
LC call number
QA611.28
LC item number
.N33 1972eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Quinn, Joseph
Series statement
Memoirs of the American Mathematical Society
Series volume
number 125
http://library.link/vocab/subjectName
  • Metric spaces
  • Continuity
  • Manifolds (Mathematics)
  • Curves
  • Topological imbeddings
  • Continuity
  • Curves
  • Manifolds (Mathematics)
  • Metric spaces
  • Topological imbeddings
Label
Embeddability and structure properties of real curves, by Sam B. Nadler, Jr. and J. Quinn
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (page 74)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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 (<U+0065>, <U+006e>)-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
Control code
884584180
Dimensions
unknown
Extent
1 online resource (82 pages)
Form of item
online
Isbn
9780821899236
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)884584180
Label
Embeddability and structure properties of real curves, by Sam B. Nadler, Jr. and J. Quinn
Publication
Copyright
Bibliography note
Includes bibliographical references (page 74)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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 (<U+0065>, <U+006e>)-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
Control code
884584180
Dimensions
unknown
Extent
1 online resource (82 pages)
Form of item
online
Isbn
9780821899236
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)884584180

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