Combinatorial and toric homotopy: introductory lectures
"This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. Th...
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
© 2018
|
| Schriftenreihe: | Lecture notes series, Institute for Mathematical Sciences, National University of Singapore
vol. 35 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students."--Publisher's website |
| Beschreibung: | Description based on online resource; title from PDF title page (viewed October 12, 2017) |
| Beschreibung: | 1 Online-Ressource (448 Seiten) Illustrationen. (some col.) |
| ISBN: | 9789813226579 |
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| 245 | 1 | 0 | |a Combinatorial and toric homotopy |b introductory lectures |c editors, Alastair Darby...[et al.] |
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| 490 | 0 | |a Lecture notes series, Institute for Mathematical Sciences, National University of Singapore |v vol. 35 | |
| 500 | |a Description based on online resource; title from PDF title page (viewed October 12, 2017) | ||
| 520 | |a "This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students."--Publisher's website | ||
| 650 | 4 | |a Combinatorial topology | |
| 650 | 4 | |a Toric varieties | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Homotopy theory | |
| 650 | 4 | |a Electronic books | |
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Datensatz im Suchindex
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| dewey-full | 514.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.22 |
| dewey-search | 514.22 |
| dewey-sort | 3514.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124558 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789813226579 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530798 |
| oclc_num | 1237590158 |
| open_access_boolean | |
| physical | 1 Online-Ressource (448 Seiten) Illustrationen. (some col.) |
| psigel | ZDB-124-WOP |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
| record_format | marc |
| series2 | Lecture notes series, Institute for Mathematical Sciences, National University of Singapore |
| spelling | Combinatorial and toric homotopy introductory lectures editors, Alastair Darby...[et al.] Singapore World Scientific Publishing Co. Pte Ltd. © 2018 1 Online-Ressource (448 Seiten) Illustrationen. (some col.) txt rdacontent c rdamedia cr rdacarrier Lecture notes series, Institute for Mathematical Sciences, National University of Singapore vol. 35 Description based on online resource; title from PDF title page (viewed October 12, 2017) "This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students."--Publisher's website Combinatorial topology Toric varieties Geometry, Algebraic Homotopy theory Electronic books Darby, Alastair Sonstige oth Print version Erscheint auch als Combinatorial and toric homotopy : introductory lectures Singapore : World Scientific Publishing Co. Pte Ltd., ©2017 Druck-Ausgabe 9789813226562 (DLC)2017030713 http://www.worldscientific.com/worldscibooks/10.1142/10613#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Combinatorial and toric homotopy introductory lectures Combinatorial topology Toric varieties Geometry, Algebraic Homotopy theory Electronic books |
| title | Combinatorial and toric homotopy introductory lectures |
| title_auth | Combinatorial and toric homotopy introductory lectures |
| title_exact_search | Combinatorial and toric homotopy introductory lectures |
| title_exact_search_txtP | Combinatorial and toric homotopy introductory lectures |
| title_full | Combinatorial and toric homotopy introductory lectures editors, Alastair Darby...[et al.] |
| title_fullStr | Combinatorial and toric homotopy introductory lectures editors, Alastair Darby...[et al.] |
| title_full_unstemmed | Combinatorial and toric homotopy introductory lectures editors, Alastair Darby...[et al.] |
| title_short | Combinatorial and toric homotopy |
| title_sort | combinatorial and toric homotopy introductory lectures |
| title_sub | introductory lectures |
| topic | Combinatorial topology Toric varieties Geometry, Algebraic Homotopy theory Electronic books |
| topic_facet | Combinatorial topology Toric varieties Geometry, Algebraic Homotopy theory Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10613#t=toc |
| work_keys_str_mv | AT darbyalastair combinatorialandtorichomotopyintroductorylectures |