Translation planes: foundations and construction principles
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
[1995]
|
| Schriftenreihe: | Lecture notes in mathematics
1611 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vi, 112 Seiten |
| ISBN: | 3540602089 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1816443373524877312 |
|---|---|
| adam_text |
NORBERT KNARR
TRANSLATION PLANES
YY I 'YY'.
T
*-YY '
YY
'
'
'
"
'
YY *' -
'
J
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FOUNDATIONS AND CONSTRUCTION PRINCIPLES
SPRINGER
TABLE OF CONTENTS
INTRODUCTION 1
1.
FOUNDATIONS 5
1.
TRANSLATION PLANES AND SPREADS 5
2.
QUASIFIELDS AND SPREAD SETS 10
3.
ISOMORPHISMS AND COUINEATIONS OF TRANSLATION PLANES 15
4.
SOME TOPOLOGICAL TOOLS 20
5.
LOCALLY COMPACT CONNECTED TRANSLATION PLANES 21
6. THE TRANSPOSITION OF TRANSLATION PLANES 23
2.
SPREADS OF 3-DIMENSIONAL PROJECTIVE SPACES 25
1.
THE KLEIN QUADRIC 25
2.
TRANSVERSAL MAPPINGS 26
3.
BETTEN'S VARIANT 29
4.
INDICATOR SETS 31
5.
LI-INDICATOR SETS 33
6. THE KINEMATIC MAPPING 36
7.
AI-INDICATOR SETS 37
3.
KINEMATIC SPACES 40
1.
STRETCH TRANSLATION SPACES 41
2.
EUCLIDEAN MOTION GROUPS 42
3.
MINKOWSKIAN MOTION GROUPS 43
4.
ELLIPTIC MOTION GROUPS 45
5.
OTHER KINEMATIC SPACES 46
VI
4.
EXAMPLES AND SUPPLEMENTS 48
1.
ANDRE PLANES 48
2.
REMARKS ON THE COLLINEATION GROUP 49
3.
INDICATOR SETS AND QUASIFIELDS 51
4.
REGULI AND FLOCKS OF REGULI 55
5.
LOCALLY COMPACT 4-DIMENSIONAL TRANSLATION PLANES 61
1.
TOPOLOGICAL SPREADS OF A 4-DIMENSIONAL REAL VECTOR SPACE 61
2.
FLOCKS OF REGULI IN TOPOLOGICAL SPREADS 64
3.
LOCALLY COMPACT 4-DIMENSIONAL TRANSLATION PLANES WITH LARGE
COLLINEATION
GROUP 65
6. PLANES OF LENZ TYPE V WITH COMPLEX KERNEL 78
1.
LOCALLY COMPACT TRANSLATION PLANES WITH COMPLEX KERNEL 78
2.
LOCALLY COMPACT PLANES OF LENZ TYPE V WITH COMPLEX KERNEL . 79
3.
PROOF OF THEOREM 6.6 84
7.
LOCALLY COMPACT TRANSLATION PLANES OF HIGHER DIMENSION . 95
1.
CONTRACTIONS OF NORMED ALGEBRAS AND TOPOLOGICAL SPREADS 95
2.
LOCALLY COMPACT TRANSLATION PLANES WITH LARGE COLLINEATION
GROUP
98
GENERALIZATIONS AND EXTENSIONS 104
BIBLIOGRAPHY 105
INDEX 111 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516/.12 |
| dewey-search | 510 516/.12 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-22T17:09:52Z |
| institution | BVB |
| isbn | 3540602089 |
| language | German |
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| physical | vi, 112 Seiten |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Knarr, Norbert 1956- (DE-588)1112349146 aut Translation planes foundations and construction principles Norbert Knarr Berlin, [u.a.] Springer [1995] © 1995 vi, 112 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1611 Plans de translation Topologische ruimten gtt Translation planes Translationsebene (DE-588)4191525-2 gnd rswk-swf Translationsebene (DE-588)4191525-2 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-44724-5 Lecture notes in mathematics 1611 (DE-604)BV000676446 1611 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006869515&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Knarr, Norbert 1956- Translation planes foundations and construction principles Lecture notes in mathematics Plans de translation Topologische ruimten gtt Translation planes Translationsebene (DE-588)4191525-2 gnd |
| subject_GND | (DE-588)4191525-2 |
| title | Translation planes foundations and construction principles |
| title_auth | Translation planes foundations and construction principles |
| title_exact_search | Translation planes foundations and construction principles |
| title_full | Translation planes foundations and construction principles Norbert Knarr |
| title_fullStr | Translation planes foundations and construction principles Norbert Knarr |
| title_full_unstemmed | Translation planes foundations and construction principles Norbert Knarr |
| title_short | Translation planes |
| title_sort | translation planes foundations and construction principles |
| title_sub | foundations and construction principles |
| topic | Plans de translation Topologische ruimten gtt Translation planes Translationsebene (DE-588)4191525-2 gnd |
| topic_facet | Plans de translation Topologische ruimten Translation planes Translationsebene |
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