Foundations of convex geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
1998
|
| Edition: | 1 publ. |
| Series: | Australian Mathematical Society lecture series
12 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 222 S. |
| ISBN: | 0521639700 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV024975407 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 100417s1998 |||| 00||| eng d | ||
| 020 | |a 0521639700 |9 0-521-63970-0 | ||
| 035 | |a (OCoLC)833336728 | ||
| 035 | |a (DE-599)BVBBV024975407 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 | ||
| 082 | 0 | |a 516.08 | |
| 084 | |a SK 380 |0 (DE-625)143235: |2 rvk | ||
| 100 | 1 | |a Coppel, William A. |e Verfasser |0 (DE-588)108974839 |4 aut | |
| 245 | 1 | 0 | |a Foundations of convex geometry |c W. A. Coppel |
| 250 | |a 1 publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 1998 | |
| 300 | |a XIV, 222 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Australian Mathematical Society lecture series |v 12 | |
| 830 | 0 | |a Australian Mathematical Society lecture series |v 12 |w (DE-604)BV001902595 |9 12 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019642863&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-019642863 | ||
Record in the Search Index
| _version_ | 1804142005035466752 |
|---|---|
| adam_text | Contents
Preface xi
Introduction 1
I Alignments 3
1 Partially ordered sets 3
2 Aligned spaces 6
3 Anti-exchange alignments 14
4 Antimatroids 16
5 Exchange alignments 20
6 Notes 24
II Convexity 27
1 Examples 27
2 Convex geometries 31
3 Additional axioms 36
4 Examples (continued) 43
5 Notes 47
III Linearity 49
1 Lines 49
2 Linear geometries 54
3 Helly s theorem and its relatives 66
VIII Contents
IV Linearity (continued) 71
1 Faces 71
2 Polytopes 74
3 Factor geometries 81
4 Notes 84
V Density and Unendingness 85
1 Dense linear geometries 85
2 Unending linear geometries 95
3 Cones 103
4 Polyhedra 109
5 Notes 114
VI Desargues 115
1 Introduction 115
2 Projective geometry 119
3 The Desargues property 124
4 Factor geometries 131
5 Notes 135
VII Vector Spaces 137
1 Coordinates 137
2 Isomorphisms 143
3 Vector sums 150
4 Notes 154
VIII Completeness 157
1 Introduction 157
2 Separation properties 164
3 Fundamental theorem of ordered geometry 172
4 Metric and norm 178
5 Notes 182
Contents DC
IX Spaces of Convex Sets 185
1 The Hausdorff metric 185
2 The space €(X) 189
3 Embeddings of €(X) 192
4 The Krein-Kakutani theorem 196
5 Notes 209
References 211
Notations 216
Axioms 217
Index 218
|
| any_adam_object | 1 |
| author | Coppel, William A. |
| author_GND | (DE-588)108974839 |
| author_facet | Coppel, William A. |
| author_role | aut |
| author_sort | Coppel, William A. |
| author_variant | w a c wa wac |
| building | Verbundindex |
| bvnumber | BV024975407 |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)833336728 (DE-599)BVBBV024975407 |
| dewey-full | 516.08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.08 |
| dewey-search | 516.08 |
| dewey-sort | 3516.08 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1 publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01210nam a2200325 cb4500</leader><controlfield tag="001">BV024975407</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100417s1998 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521639700</subfield><subfield code="9">0-521-63970-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)833336728</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV024975407</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.08</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Coppel, William A.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108974839</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Foundations of convex geometry</subfield><subfield code="c">W. A. Coppel</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1 publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 222 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Australian Mathematical Society lecture series</subfield><subfield code="v">12</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Australian Mathematical Society lecture series</subfield><subfield code="v">12</subfield><subfield code="w">(DE-604)BV001902595</subfield><subfield code="9">12</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019642863&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-019642863</subfield></datafield></record></collection> |
| id | DE-604.BV024975407 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:24:53Z |
| institution | BVB |
| isbn | 0521639700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019642863 |
| oclc_num | 833336728 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | XIV, 222 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Australian Mathematical Society lecture series |
| series2 | Australian Mathematical Society lecture series |
| spelling | Coppel, William A. Verfasser (DE-588)108974839 aut Foundations of convex geometry W. A. Coppel 1 publ. Cambridge Cambridge Univ. Press 1998 XIV, 222 S. txt rdacontent n rdamedia nc rdacarrier Australian Mathematical Society lecture series 12 Australian Mathematical Society lecture series 12 (DE-604)BV001902595 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019642863&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Coppel, William A. Foundations of convex geometry Australian Mathematical Society lecture series |
| title | Foundations of convex geometry |
| title_auth | Foundations of convex geometry |
| title_exact_search | Foundations of convex geometry |
| title_full | Foundations of convex geometry W. A. Coppel |
| title_fullStr | Foundations of convex geometry W. A. Coppel |
| title_full_unstemmed | Foundations of convex geometry W. A. Coppel |
| title_short | Foundations of convex geometry |
| title_sort | foundations of convex geometry |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019642863&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001902595 |
| work_keys_str_mv | AT coppelwilliama foundationsofconvexgeometry |