Higher Segal Spaces (Record no. 21947)
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| 000 -LEADER | |
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| fixed length control field | 03924nam a22005655i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200701170826.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191017s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030271244 |
| -- | 978-3-030-27124-4 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.6 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Dyckerhoff, Tobias. |
| 245 10 - TITLE STATEMENT | |
| Title | Higher Segal Spaces |
| Statement of responsibility, etc | by Tobias Dyckerhoff, Mikhail Kapranov. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XV, 218 p. 139 illus., 2 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Preliminaries -- 2. Topological 1-Segal and 2-Segal Spaces -- 3. Discrete 2-Segal Spaces -- 4. Model Categories and Bousfield localization -- 5. The 1-Segal and 2-Segal model structures -- 6. The path space criterion for 2-Segal Spaces -- 7. 2-Segal Spaces from higher categories -- 8. Hall Algebras associated to 2-Segal Spaces -- 9. Hall (∞,2)-Categories -- 10. An (∞,2)-categorical theory of Spans -- 11. 2-segal Spaces as monads in bispans App -- A: Bicategories. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a d-Segal space, which is a simplicial space satisfying locality conditions related to triangulations of d-dimensional cyclic polytopes. Focus here is on the 2-dimensional case. Many important constructions are shown to exhibit the 2-Segal property, including Waldhausen’s S-construction, Hecke-Waldhausen constructions, and configuration spaces of flags. The relevance of 2-Segal spaces in the study of Hall and Hecke algebras is discussed. Higher Segal Spaces marks the beginning of a program to systematically study d-Segal spaces in all dimensions d. The elementary formulation of 2-Segal spaces in the opening chapters is accessible to readers with a basic background in homotopy theory. A chapter on Bousfield localizations provides a transition to the general theory, formulated in terms of combinatorial model categories, that features in the main part of the book. Numerous examples throughout assist readers entering this exciting field to move toward active research; established researchers in the area will appreciate this work as a reference. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Category theory (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Homological algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | K-theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic topology. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Category Theory, Homological Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | K-Theory. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Topology. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kapranov, Mikhail. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-27124-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | EBooks |
| 037 ## - SOURCE OF ACQUISITION | |
| Source of stock number/acquisition | Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
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| -- | rda |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11035 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11086 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28019 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-LNM |
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