MARC details
| 000 -LEADER |
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| fixed length control field |
02870cam a2200385 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1437991837 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240806145327.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240611t20242024riua b 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1470469626 |
| Qualifying information |
(pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470469627 |
| Qualifying information |
(pbk.) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)1437991837 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| Modifying agency |
YSM |
| -- |
EAU |
| -- |
OCLCO |
| -- |
VGM |
| -- |
UNBCA |
| -- |
PAU |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ayala, David, |
| Dates associated with a name |
1982- |
| Relator term |
author. |
| Real World Object URI |
https://id.oclc.org/worldcat/entity/E39PCjt6xjYVPYdTtCq8XHGtBq |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Stratified noncommutative geometry / |
| Statement of responsibility, etc. |
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Providence, RI : |
| Name of producer, publisher, distributor, manufacturer |
American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2024. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2024 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
v, 260 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Memoirs of the American Mathematical Society, |
| International Standard Serial Number |
0065-9266 ; |
| Volume/sequential designation |
v. 1485 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 257-260). |
| 520 3# - SUMMARY, ETC. |
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| Summary, etc. |
We introduce a theory of stratifications of noncommutative stacks (i.e. presentable stable ∞-categories), and we prove a reconstruction theorem that expresses them in terms of their strata and gluing data. This reconstruction theorem is compatible with symmetric monoidal structures, and with more general operadic structures such as En-monoidal structures. We also provide a suite of fundamental operations for constructing new stratifications from old ones: restriction, pullback, quotient, pushforward, and refinement. Moreover, we establish a dual form of reconstruction; this is closely related to Verdier duality and reflection functors, and gives a categorification of Möbius inversion. Our main application is to equivariant stable homotopy theory: for any compact Lie group G, we give a symmetric monoidal stratification of genuine G-spectra. In the case that G is finite, this expresses genuine G-spectra in terms of their geometric fixedpoints (as homotopy-equivariant spectra) and gluing data therebetween (which are given by proper Tate constructions). We also prove an adelic reconstruction theorem; this applies not just to ordinary schemes but in the more general context of tensor-triangular geometry, where we obtain a symmetric monoidal stratification over the Balmer spectrum. We discuss the particular example of chromatic homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Geometry, Algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Algebraic topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Categories (Mathematics) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Mazel-Gee, Aaron, |
| Relator term |
author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rozenblyum, Nick, |
| Dates associated with a name |
1984- |
| Relator term |
author. |
| Real World Object URI |
https://id.oclc.org/worldcat/entity/E39PCjqCTgHMVBKHbdcfdxhQ4m |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Memoirs of the American Mathematical Society ; |
| Volume/sequential designation |
v. 1485. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Suppress in OPAC |
No |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
|---|
| h (OCLC) |
NO HOLDINGS IN P5A - 11 OTHER HOLDINGS |
