The spectrum ( P bo) -∞ There are spectraPkconstructed from stunted real projective spaces as in [1] such thatH*(Pk) is the span in /2[x, x1] of those xiwith i ≥ k. (All cohomology groups have /2-coefficients unless specified otherwise.) Using collapsing maps,... DM Davis,M ...
We offer an elementary and relatively simple calculation of the homotopy groups of the space of self-adjoint Fredholm operators.doi:10.1007/978-1-4612-0337-7_16Bernhelm Boo-BavnbekKrzysztof P. WojciechowskiBirkhäuser BostonB. Booss-Bavnbek, M. Lesch, and J. Phillips. Spectral flow of ...
In the last section some of these results are extended and we show that our invariants also detect stable homotopy groups of the classifying spaces $BO(k)$ as direct summands of the cobordism semigroups of fold maps... B Kalmar - 《Mathematics》 被引量: 23发表: 2007年 Detection of some...
Introduction Main Theorem Homotopy Nilpotency in Localized Lie Groups Shizuo Kaji Daisuke Kishimoto Department of Mathematics Kyoto University Homotopy Symposium 2006 at Ehime University Homotopy Nilpotency Introduction Main Theorem Outline 1 Introduction Definitions Motive Work 2 Main Theorem Main Theorem ...
The following sections are included:Coefficient-Parameter TheoryParameter Homotopy in ApplicationAn Illustrative Example: TrianglesNested Parameter HomotopiesSide ConditionsHomotopies that Respect Symmetry GroupsCase Study: Stewart-Gough PlatformsGeneral CasePlatforms with Coincident JointsPlanar PlatformsSummary of Cas...
Let X be a 2-local ring spectrum of type n which is homotopy commutative up to a finite level of coherence (homotopy associativity is not assumed). We prov
Segal , G.B., Loop Groups and Harmonic Maps, in Advances in Homotopy Theory , London Math. Soc. Lect. Notes 139 , Cambridge Univ. Press, Cambridge, 1989, 153–164.S. Mitchell, Advances in Homotopy Theory, edited by S. M. Salamon, B. Steer and W. A. Sutherland, London Mathematical...
Mahowald High Euler characteristics for almost extraspecial $p$-groups by M. Brunetti Unstable $p$-th order operation and $H$-spaces by Y. Hemmi The structure of 24 dimensional manifolds having normal bundles which lift to $BO[8]$ by M. Mahowald and M. Hopkins The homology of $BPO$ ...
In classical homotopy theory the construction (133) is expressed by explicitly attaching sets of cells of ever higher dimension\(n + 2 + k\), thereby iteratively filling up the higher homotopy groups. Here in the type-theoretic formulation this increase in dimension isimplicitin the fact that ...
In Cohomo- logical methods in homotopy theory (Bellaterra, 1998), volume 196 of Progr. Math., pages 357-374. Birkha¨user, Basel, 2001.C-F Bo¨digheimer, U Tillmann, Stripping and splitting decorated mapping class groups, from: "Cohomological methods in homotopy theory (Bellaterra, 1998)...