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pro vyhledávání: '"Smith, Samuel B."'
Autor:
Lupton, Gregory, Smith, Samuel B.
Publikováno v:
Algebraic and Geometric Topology, volume 12, no. 3 (2012), 1667-1694
We prove fibrewise versions of classical theorems of Hopf and Leray-Samelson. Our results imply the fibrewise H-triviality after rationalization of a certain class of fibrewise H-spaces. They apply, in particular, to universal adjoint bundles. From t
Externí odkaz:
http://arxiv.org/abs/1208.4073
Autor:
Buijs, Urtzi, Smith, Samuel B.
Let p be a fibration of simply connected CW complexes with finite base B and fibre F. Let aut_1(p) denote the identity component of the space of all fibre-homotopy self-equivalences of p and Baut_1(p) the classifying space for this topological monoid
Externí odkaz:
http://arxiv.org/abs/1111.4404
Let $A$ be a unital $C^*$-algebra. Its unitary group, $UA$, contains a wealth of topological information about $A$. However, the homotopy type of $UA$ is out of reach even for $A = M_2(\CC)$. There are two simplifications which have been considered.
Externí odkaz:
http://arxiv.org/abs/0909.3805
Autor:
Schochet, Claude L., Smith, Samuel B.
We extend the standard localization theory for function and section spaces due to Hilton-Mislin-Roitberg and Moller outside the CW category to the case of compact metric domain in the presence of a grouplike structure. We study applications in two ca
Externí odkaz:
http://arxiv.org/abs/0908.3243
Let Aut(p) denote the topological monoid of self-fibre-homotopy equivalences of a fibration p:E\to B. We make a general study of this monoid, especially in rational homotopy theory. When E and B are simply connected CW complexes with E finite, we ide
Externí odkaz:
http://arxiv.org/abs/0903.1470
Let \zeta be an n-dimensional complex matrix bundle over a compact metric space X and let A_\zeta denote the C*-algebra of sections of this bundle. We determine the rational homotopy type as an H-space of UA_\zeta, the group of unitaries of A_\zeta.
Externí odkaz:
http://arxiv.org/abs/0811.0771
Let $A$ be a unital commutative Banach algebra with maximal ideal space $X.$ We determine the rational H-type of the group $GL_n (A)$ of invertible n by n matrices with coefficients in A, in terms of the rational cohomology of $X.$ We also address an
Externí odkaz:
http://arxiv.org/abs/math/0509269
Autor:
BUIJS, URTZI, SMITH, SAMUEL B.
Publikováno v:
Proceedings of the American Mathematical Society, 2013 Jun 01. 141(6), 2153-2167.
Externí odkaz:
https://www.jstor.org/stable/23562308
Publikováno v:
Transactions of the American Mathematical Society, 2009 Jan 01. 361(1), 267-295.
Externí odkaz:
https://www.jstor.org/stable/40302769