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Book Stable Homotopy Theory   Lectures Delivered at the Univ  of California at Berkeley 1961

Download or read book Stable Homotopy Theory Lectures Delivered at the Univ of California at Berkeley 1961 written by John Frank Adams and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stable Homotopy Theory

Download or read book Stable Homotopy Theory written by J.F. Adams and published by Springer. This book was released on 2013-11-11 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stable Homotopy Theory

Download or read book Stable Homotopy Theory written by J. Frank Adams and published by Springer. This book was released on 1964 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before I get down to the business of exposition, I'd like to offer a little motivation. I want to show that there are one or two places in homotopy theory where we strongly suspect that there is something systematic going on, but where we are not yet sure what the system is. The first question concerns the stable J-homomorphism. I recall that this is a homomorphism J: ~ (SQ) ~ ~S = ~ + (Sn), n large. r r r n It is of interest to the differential topologists. Since Bott, we know that ~ (SO) is periodic with period 8: r 6 8 r = 1 2 3 4 5 7 9· . · Z o o o z On the other hand, ~S is not known, but we can nevertheless r ask about the behavior of J. The differential topologists prove: 2 Th~~: If I' = ~ - 1, so that 'IT'r(SO) ~ 2, then J('IT'r(SO)) = 2m where m is a multiple of the denominator of ~/4k th (l\. being in the Pc Bepnoulli numher.) Conject~~: The above result is best possible, i.e. J('IT'r(SO)) = 2m where m 1s exactly this denominator. status of conJectuI'e ~ No proof in sight. Q9njecture Eo If I' = 8k or 8k + 1, so that 'IT'r(SO) = Z2' then J('IT'r(SO)) = 2 , 2 status of conjecture: Probably provable, but this is work in progl'ess.

Book Stable Homotopy Theory

Download or read book Stable Homotopy Theory written by J. F. Adams and published by Springer. This book was released on 2007-02-08 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures Delivered at the University of California at Berkeley 1961

Book Stable Homotopy Theory

Download or read book Stable Homotopy Theory written by John Frank Adams and published by . This book was released on 1969 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Commutative Group Schemes

Download or read book Commutative Group Schemes written by F. Oort and published by Springer. This book was released on 2006-11-14 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern ing abelian schemes over a locally noetherian prescheme. The prelim inaries for these considerations are brought together in chapter I. SERRE described properties of the category of commutative quasi-algebraic groups by introducing pro-algebraic groups. In char8teristic zero the situation is clear. In characteristic different from zero information on finite group schemee is needed in order to handle group schemes; this information can be found in work of GABRIEL. In the second chapter these ideas of SERRE and GABRIEL are put together. Also extension groups of elementary group schemes are determined. A suggestion in a paper by MANIN gave crystallization to a fee11ng of symmetry concerning subgroups of abelian varieties. In the third chapter we prove that the dual of an abelian scheme and the linear dual of a finite subgroup scheme are related in a very natural way. Afterwards we became aware that a special case of this theorem was already known by CARTIER and BARSOTTI. Applications of this duality theorem are: the classical duality theorem ("duality hy pothesis", proved by CARTIER and by NISHI); calculation of Ext(~a,A), where A is an abelian variety (result conjectured by SERRE); a proof of the symmetry condition (due to MANIN) concerning the isogeny type of a formal group attached to an abelian variety.

Book An Index and Other Useful Information

Download or read book An Index and Other Useful Information written by A. Dold and published by Springer. This book was released on 2013-12-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Introduction to Stable Homotopy Theory

Download or read book Introduction to Stable Homotopy Theory written by David Barnes and published by Cambridge University Press. This book was released on 2020-03-26 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

Book The Selected Works of J  Frank Adams  Volume 2

Download or read book The Selected Works of J Frank Adams Volume 2 written by John Frank Adams and published by Cambridge University Press. This book was released on 1992-10-07 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selected works of one the greatest names in algebraic topology.

Book Book Catalogue of the Library of the Royal Society

Download or read book Book Catalogue of the Library of the Royal Society written by Royal Society (Great Britain). Library and published by . This book was released on 1982 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book American Book Publishing Record Cumulative  1950 1977

Download or read book American Book Publishing Record Cumulative 1950 1977 written by R.R. Bowker Company. Department of Bibliography and published by . This book was released on 1978 with total page 2006 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book University of California Union Catalog of Monographs Cataloged by the Nine Campuses from 1963 Through 1967  Authors   titles

Download or read book University of California Union Catalog of Monographs Cataloged by the Nine Campuses from 1963 Through 1967 Authors titles written by University of California (System). Institute of Library Research and published by . This book was released on 1972 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Pure and Applied Science Books  1876 1982

Download or read book Pure and Applied Science Books 1876 1982 written by and published by . This book was released on 1982 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1967 with total page 1250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Part 1, Number 2: Books and Pamphlets, Including Serials and Contributions to Periodicals July - December)

Book The National union catalog  1968 1972

Download or read book The National union catalog 1968 1972 written by and published by . This book was released on 1973 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematica Scandinavica

Download or read book Mathematica Scandinavica written by and published by . This book was released on 1965 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: