Topological imbeddings in Euclidean space:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence ; Rhode Island
American Mathematical Society
1968
|
| Series: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>
Proceedings of the Steklov Institute of Mathematics ; number 81 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russischen übersetzt |
| Physical Description: | iv, 203 Seiten |
Staff View
MARC
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| 245 | 1 | 0 | |a Topological imbeddings in Euclidean space |c by L. V. Keldys |
| 264 | 1 | |a Providence ; Rhode Island |b American Mathematical Society |c 1968 | |
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Record in the Search Index
| _version_ | 1804117267250675712 |
|---|---|
| adam_text | PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
IN THE ACADEMY OF SCIENCES OF THE USSR
(Tpyflbi MaTeMaTimecKoro MHCTHTyia mm. B. A. OreKJiOBa, t. LXXXI, 1966)
TABLE OF CONTENTS
Page
Introduction 1
Chapter I. Isotopy and pseudo-isotopy 7
§1. Homotopy 7
§2. Isotopy 13
§3. Neighborhoods and coverings of sets in En 21
§4. Isotopy of some zero-dimensional subsets of E and S™ 28
§5. Pseudo-isotopy 39
Chapter II. Planar isotopies 49
§1. Planar polyhedra 49
§2. Semilinear isotopies of the plane 53
V3- Imbedding of compacta in the plane 63
§4. Imbedding of simple arcs and simple closed curves in the plane 68
Chapter III. The fundamental group 83
§1. Paths in a space 83
§2. The fundamental group 90
§3. The van Kampen Theorem and its applications 97
§4. Computation of the fundamental group of a polyhedral knot in E Ill
§5. The fundamental group of a domain in En 119
Chapter IV. Wild imbeddings in E3 124
§1. Definitions 124
§2. Examples of simple arcs, disks and spheres in E3 with finitely
many wild points 127
§3- Imbeddings in E3 with infinitely many wild points 136
§4. The wild zero-dimensional compactum of Antoine 143
Chapter V. Topological imbeddings of a sphere Sn l into the sphere S
and into En 153
§1. The generalized Schoenflies theorem 153
§2. Some consequences of the Schoenflies theorem 161
§3- Some problems in the topology of En and stable homeomorphisms 163
iii
Page
§4. Local conditions 179
§5. Imbedding of combinatorial and star (re-l)-spheres in S 188
§6. Conclusion 194
Bibliography 199
iv
|
| any_adam_object | 1 |
| author | Keldyš, Ljudmila V. 1904-1976 |
| author_GND | (DE-588)172182352 |
| author_facet | Keldyš, Ljudmila V. 1904-1976 |
| author_role | aut |
| author_sort | Keldyš, Ljudmila V. 1904-1976 |
| author_variant | l v k lv lvk |
| building | Verbundindex |
| bvnumber | BV002976700 |
| classification_rvk | SI 700 |
| ctrlnum | (OCoLC)490399069 (DE-599)BVBBV002976700 |
| dewey-full | 513.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513.83 |
| dewey-search | 513.83 |
| dewey-sort | 3513.83 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002976700 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:41Z |
| institution | BVB |
| language | English |
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| physical | iv, 203 Seiten |
| psigel | TUB-nveb |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | American Mathematical Society |
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| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva> |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva> : Proceedings of the Steklov Institute of Mathematics |
| spelling | Keldyš, Ljudmila V. 1904-1976 (DE-588)172182352 aut Topologičeskie vloženija v evklidovo prostranstvo Topological imbeddings in Euclidean space by L. V. Keldys Providence ; Rhode Island American Mathematical Society 1968 iv, 203 Seiten txt rdacontent n rdamedia nc rdacarrier Matematičeskij Institut Imeni V. A. Steklova <Moskva> : Proceedings of the Steklov Institute of Mathematics number 81 Aus dem Russischen übersetzt Ensembles, Théorie des ram Plongements (mathématiques) ram Topologie fourier Euklidischer Raum (DE-588)4309127-1 gnd rswk-swf Topologische Einbettung (DE-588)4455162-9 gnd rswk-swf Euklidischer Raum (DE-588)4309127-1 s Topologische Einbettung (DE-588)4455162-9 s DE-604 Matematičeskij Institut Imeni V. A. Steklova <Moskva> Proceedings of the Steklov Institute of Mathematics ; number 81 (DE-604)BV000009943 81 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001863603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Keldyš, Ljudmila V. 1904-1976 Topological imbeddings in Euclidean space Matematičeskij Institut Imeni V. A. Steklova <Moskva> Ensembles, Théorie des ram Plongements (mathématiques) ram Topologie fourier Euklidischer Raum (DE-588)4309127-1 gnd Topologische Einbettung (DE-588)4455162-9 gnd |
| subject_GND | (DE-588)4309127-1 (DE-588)4455162-9 |
| title | Topological imbeddings in Euclidean space |
| title_alt | Topologičeskie vloženija v evklidovo prostranstvo |
| title_auth | Topological imbeddings in Euclidean space |
| title_exact_search | Topological imbeddings in Euclidean space |
| title_full | Topological imbeddings in Euclidean space by L. V. Keldys |
| title_fullStr | Topological imbeddings in Euclidean space by L. V. Keldys |
| title_full_unstemmed | Topological imbeddings in Euclidean space by L. V. Keldys |
| title_short | Topological imbeddings in Euclidean space |
| title_sort | topological imbeddings in euclidean space |
| topic | Ensembles, Théorie des ram Plongements (mathématiques) ram Topologie fourier Euklidischer Raum (DE-588)4309127-1 gnd Topologische Einbettung (DE-588)4455162-9 gnd |
| topic_facet | Ensembles, Théorie des Plongements (mathématiques) Topologie Euklidischer Raum Topologische Einbettung |
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