MARC details
000 -LEADER |
fixed length control field |
03162cam a2200517 i 4500 |
001 - CONTROL NUMBER |
control field |
on1242021766 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240409130607.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
210305t20212021riua f b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2021004452 |
015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
National bibliography number |
GBC1B7922 |
Source |
bnb |
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
Record control number |
020272262 |
Source |
Uk |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470456740 |
Qualifying information |
hardcover |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
1470456745 |
Qualifying information |
hardcover |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470469580 |
Qualifying information |
softcover |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
1470469588 |
Qualifying information |
softcover |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
Canceled/invalid ISBN |
9781470465636 |
Qualifying information |
electronic book |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
OCLC library identifier |
UKMGB |
System control number |
020272262 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000068906547 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)1242021766 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Description conventions |
rda |
Transcribing agency |
DLC |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514.23 |
Item number |
B894a |
084 ## - OTHER CLASSIFICATION NUMBER |
Classification number |
18G40 |
-- |
55N34 |
-- |
55N35 |
-- |
55P42 |
-- |
55P43 |
-- |
55Q45 |
-- |
55Q51 |
-- |
55T05 |
-- |
55T15 |
Number source |
msc |
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES |
IMPA CODE FOR CLASSIFICATION SHELVES |
Topologia |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bruner, R. R. |
Fuller form of name |
(Robert Ray), |
Dates associated with a name |
1950- |
Relator term |
author. |
9 (RLIN) |
42307 |
245 14 - TITLE STATEMENT |
Title |
The Adams spectral sequence for topological modular forms / |
Statement of responsibility, etc. |
Robert R. Bruner, John Rognes. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Providence, Rhode Island : |
Name of producer, publisher, distributor, manufacturer |
American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice |
[2021] |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Date of production, publication, distribution, manufacture, or copyright notice |
©2021 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xix, 690 pages : |
Other physical details |
illustrations (some color) ; |
Dimensions |
26 cm. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
unmediated |
Media type code |
n |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
volume |
Carrier type code |
nc |
Source |
rdacarrier |
490 1# - SERIES STATEMENT |
Series statement |
Mathematical surveys and monographs, |
International Standard Serial Number |
0076-5376 ; |
Volume/sequential designation |
Volume 253 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes bibliographical references (pages 675-682) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
"The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations." |
Assigning source |
Provided by publisher. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebra, Homological. |
9 (RLIN) |
43544 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Homology theory. |
9 (RLIN) |
43696 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Adams spectral sequences. |
9 (RLIN) |
36980 |
697 ## - LOCAL SUBJECT |
Linkage |
40 |
Local Subject |
Topologia |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Rognes, John, |
Relator term |
author. |
9 (RLIN) |
2099 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Mathematical surveys and monographs ; |
Volume/sequential designation |
no. 253. |
International Standard Serial Number |
0076-5376 |
9 (RLIN) |
40346 |
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 - 85 OTHER HOLDINGS |