Topological methods in chemistry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1989
|
| Schriftenreihe: | A Wiley-Interscience publication
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 233 S. Ill., graph. Darst. |
| ISBN: | 0471838179 |
Internformat
MARC
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| 245 | 1 | 0 | |a Topological methods in chemistry |c Richard E. Merrifield ; Howard E. Simmons |
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Datensatz im Suchindex
| _version_ | 1804121137723998208 |
|---|---|
| adam_text | TOPOLOGICAL METHODS IN CHEMISTRY RICHARD E. MERRIFIELD HOWARD E. SIMMONS
CENTRAL RESEARCH AND DEVELOPMENT DEPARTMENT E. I. DU PONT DE NEMOURS AND
CO. (INC.) WILMINGTON, DELAWARE WILEY A WILEY-INTERSCIENCE PUBLICATION
JOHN WILEY & SONS NEW YORK * CHICHESTER * BRISBANE * TORONTO * SINGAPORE
CONTENTS INTRODUCTION PAGE STRUCTURE AND TOPOLOGY 1 NEARNESS AND
ADJACENCY 2 GENERAL TOPOLOGY 3 FINITE AND INFINITE TOPOIOGIES 5 FORMAT
OF THE TEXT 6 APPLICATIONS 7 ELEMENTARY SET THEORY 7 PART I. FINITE
TOPOLOGY CHAPTER 1. TOPOLOGICAL SPACES 13 1.1 DEFINITION OFA TOPOLOGICAL
SPACE 13 1.2 CLOSED SETS AND THE COTOPOLOGY 15 1.3 BASES AND SUBBASES 16
1.4 IRREDUCIBLE BASIS OF A TOPOLOGY 17 1.5 CLOSURE, COCLOSURE, INTERIOR,
AND BOUNDARY OF A GENERAL SET 19 1.6 SUBSPACES 21 1.7 PRODUCT SPACES 23
1.8 METRIE SPACES 24 2. FINITE TOPOIOGIES AND LATTICES 27 2.1 PARTIALLY
ORDERED SETS AND LATTICES 27 2.2 DISTRIBUTIVE LATTICES 31 2.3 INTERVALS
IN DISTRIBUTIVE LATTICES 32 2.4 DIRECT PRODUCTS 34 2.5 REDUCIBILITY 37
3. FINITE TOPOIOGIES AND GRAPH THEORY 39 3.1 TOPOIOGIES AND DIRECTED
GRAPHS 39 3.2 TOPOIOGIES AND GRAPHS 44 3.3 SUBBASES AND GRAPHS 47 VII
CHAPTER PAGE 4. CONNECTIVITY 49 4.1 TOPOLOGICAL AND GRAPHICAL
CONNECTIVITY 49 4.2 LATTICESOF CONNECTED AND DISCONNECTED SPACES 51 4.3
CONNECTIVITY OF SUBSETS 52 4.4 SEPARATED SETS 53 5. CLASSIFICATION OF
TOPOLOGICAL SPACES: SEPARATION AXIOMS 55 5.1 ^*-SPACES 55 5.2 REGULAER
AND NORMAL SPACES 59 6. COMBINATORICS 63 6.1 CARDINALITY OF A TOPOLOGY
63 6.2 CARDINALITY OF A SUBSPACE; NUMBER OF SETS CONTAINING A
GIVENSUBSET 69 6.3 CONNECTED SETS 71 6.4 GENERATING FUNCTIONS 74 6.5
TWO-POINT CORRELATION FUNCTIONS IN R //2 -SPACES 77 7. FUNCTIONS AND
CONTINUITY 81 7.1 FUNCTIONS 81 7.2 CONTINUOUS FUNCTIONS 83 7.3
CONTINUITY IN A GENERAL FINITE TOPOLOGICAL SPACE 88 7.4 FIXED POINTS OF
ENDOMORPHISMS OF R //2 -SPACES 89 7.5 QUOTIENT MAPS 92 7.6 TOPOLOGY
INDUCED BY A FUNCTION 95 PART II. FINITE TOPOLOGY AND CHEMISTRY 8.
TOPOLOGICAL DESCRIPTION OF MOLECULAR STRUCTURE 99 8.1 GENERAL
CONSIDERATIONS 99 8.2 APPROACHES TO MOLECULAR TOPOLOGY 100 8.3 ANALYSIS
OF MOLECULAR TOPOLOGIES 100 9. BOND TOPOLOGY 103 9.1 CONSTRUCTIONOFTHE
BOND TOPOLOGY 103 9.2 STRUCTURE OFTHE BOND TOPOLOGY 104 9.3
COMBINATORIAL PROPERTIES OFTHE BOND TOPOLOGY 108 9.4 BOND TOPOLOGY OF
ALKANES 119 VIII CHAPTER PAGE 10. GRAPH TOPOLOGY 121 10.1 CONSTRUCTION
OF THE GRAPH TOPOLOGY 121 10.2 STRUCTUREOF THE GRAPH TOPOLOGY 127 10.3
COMBINATORIAL PROPERTIES OF THE GRAPH TOPOLOGY 130 10.4 CORESIDUALITY
137 10.5 TOPOLOGICAL PERTURBATION THEORY AND THE PROPAGATOR 143 10.6
PHYSICAL MODELS AND THE GRAPH TOPOLOGY 151 10.7 THE GRAPH TOPOLOGY OF
EXTENDED STRUCTURES 154 10.8 TOPOLOGY OF SATURATED HYDROCARBONS 161 10.9
CONTINUOUS TRANSFORMATIONS IN THE GRAPH TOPOLOGY 165 11. DUPLEX SPACES
167 11.1 DUPLEX OFA GRAPH 167 11.2 DEFINITION OFTHE DUPLEX SPACE 169
11.3 CARDINALITY OFTHE DUPLEX TOPOLOGY 171 11.4 DUPLEX SPACES OF
ALTERNANTS 173 11.5 DUPLEX SPACES OF NONALTERNANTS 175 11.6
PARASPECTRALITY 175 12. TOPOLOGY OF CHEMICAL REACTIONS 179 12.1 CHEMICAL
REACTION SPACES 179 12.2 KINETICS IN CHEMICAL REACTION SPACES 183
APPENDIXES APPENDIX A. NUMBER OF FINITE TOPOLOGIES AND SOME OF THEIR
LATTICES 191 APPENDIX B. CORESIDUALITY IN MOLECULAR ORBITAL THEORY 197
APPENDIXC. SOME PROPERTIES OFTHE FIBONACCI NUMBERS 203 APPENDIX D.
ALTERNATIVE FORMULATIONS OFTHE COMBINATORICS OF INDEPENDENT SETS 205
APPENDIX E. GROUP OF A FINITE TOPOLOGY 211 APPENDIX F OPENNESS AND
TOPOLOGICAL BOND ORDERS AS PROBABILITIES 215 APPENDIX G. GRAPHS HAVING
THE SAME NUMBER OF INDEPENDENT SETS; A CONTRACTION-SUBDIVISION IDENTITY
FOR A(G) 219 APPENDIX H. SOME SPECIAL SPACES 223 BIBLIOGRAPHY 227 INDEX
229 IX
|
| any_adam_object | 1 |
| author | Merrifield, Richard E. Simmons, Howard Earl |
| author_facet | Merrifield, Richard E. Simmons, Howard Earl |
| author_role | aut aut |
| author_sort | Merrifield, Richard E. |
| author_variant | r e m re rem h e s he hes |
| building | Verbundindex |
| bvnumber | BV006981481 |
| callnumber-first | Q - Science |
| callnumber-label | QD39 |
| callnumber-raw | QD39.3.M3 |
| callnumber-search | QD39.3.M3 |
| callnumber-sort | QD 239.3 M3 |
| callnumber-subject | QD - Chemistry |
| classification_rvk | SK 950 VC 6100 |
| classification_tum | CHE 130f |
| ctrlnum | (OCoLC)17105307 (DE-599)BVBBV006981481 |
| dewey-full | 514/.024541 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.024541 |
| dewey-search | 514/.024541 |
| dewey-sort | 3514 524541 |
| dewey-tens | 510 - Mathematics |
| discipline | Chemie / Pharmazie Physik Chemie Mathematik |
| format | Book |
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| id | DE-604.BV006981481 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:53:12Z |
| institution | BVB |
| isbn | 0471838179 |
| language | English |
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| physical | IX, 233 S. Ill., graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| publisher | Wiley |
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| series2 | A Wiley-Interscience publication |
| spelling | Merrifield, Richard E. Verfasser aut Topological methods in chemistry Richard E. Merrifield ; Howard E. Simmons New York [u.a.] Wiley 1989 IX, 233 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Chemie Mathematik Chemistry Mathematics Topology Chemie (DE-588)4009816-3 gnd rswk-swf Chemische Struktur (DE-588)4009857-6 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s Chemische Struktur (DE-588)4009857-6 s DE-604 Chemie (DE-588)4009816-3 s Simmons, Howard Earl Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004416479&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Merrifield, Richard E. Simmons, Howard Earl Topological methods in chemistry Chemie Mathematik Chemistry Mathematics Topology Chemie (DE-588)4009816-3 gnd Chemische Struktur (DE-588)4009857-6 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4009816-3 (DE-588)4009857-6 (DE-588)4060425-1 |
| title | Topological methods in chemistry |
| title_auth | Topological methods in chemistry |
| title_exact_search | Topological methods in chemistry |
| title_full | Topological methods in chemistry Richard E. Merrifield ; Howard E. Simmons |
| title_fullStr | Topological methods in chemistry Richard E. Merrifield ; Howard E. Simmons |
| title_full_unstemmed | Topological methods in chemistry Richard E. Merrifield ; Howard E. Simmons |
| title_short | Topological methods in chemistry |
| title_sort | topological methods in chemistry |
| topic | Chemie Mathematik Chemistry Mathematics Topology Chemie (DE-588)4009816-3 gnd Chemische Struktur (DE-588)4009857-6 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Chemie Mathematik Chemistry Mathematics Topology Chemische Struktur Topologie |
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