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Homotopy Type of
"... The homotopy type of classifying spaces of gauge groups of principal SU(2) bundle over S 4 are classified by the absolute value of their instanton numbers. 1 Introduction Let P k be the principal SU(2) bundle over S 4 with c 2 (P k ) = k 2 Z, G k its gauge group. It is known ([1]) that BG k &a ..."
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The homotopy type of classifying spaces of gauge groups of principal SU(2) bundle over S 4 are classified by the absolute value of their instanton numbers. 1 Introduction Let P k be the principal SU(2) bundle over S 4 with c 2 (P k ) = k 2 Z, G k its gauge group. It is known ([1]) that BG k
HOMOTOPY TYPES OF TOPOLOGICAL STACKS
"... Abstract. We show that an arbitrary topological stack X has a natural weak homotopy type. Under a certain paracompactness condition on X, we show that X actually has a natural homotopy type. We also prove these results for diagrams of topological stacks. These results are formulated in terms of func ..."
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Cited by 12 (2 self)
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Abstract. We show that an arbitrary topological stack X has a natural weak homotopy type. Under a certain paracompactness condition on X, we show that X actually has a natural homotopy type. We also prove these results for diagrams of topological stacks. These results are formulated in terms
Proalgebraic homotopy types
, 2008
"... The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain prokalgebraic compl ..."
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The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain pro
Proalgebraic homotopy types
, 2008
"... The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain prokalgebraic compl ..."
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The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain pro
Proalgebraic homotopy types
, 2008
"... The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain prokalgebraic compl ..."
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The purpose of this paper is to generalise Sullivan’s rational homotopy theory to nonnilpotent spaces, in such a way as to be amenable to Hodge theory. The proalgebraic homotopy type (over a field k of characteristic zero) of a pointed space (X, x) is constructed as a certain pro
THE HOMOTOPY TYPE OF HYPERPLANE POSETS
, 1985
"... Previously, Edelman had defined a partial order on the regions of a euclidean space dissected by hyperplanes. The goal of this paper is to compute the homotopy type of open intervals in these posets. Techniques from the theory of shellable posets are used. ..."
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Cited by 8 (1 self)
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Previously, Edelman had defined a partial order on the regions of a euclidean space dissected by hyperplanes. The goal of this paper is to compute the homotopy type of open intervals in these posets. Techniques from the theory of shellable posets are used.
Mathematik On the étale homotopy type of MorelVoevodsky spaces
"... On the étale homotopy type of ..."
Homotopy type theory: Unified . . .
, 2014
"... The aim of this proposal is to enable a tightly knit group of expert researchers in logic, mathematics, and computer science to pursue a recent theoretical breakthrough that is reshaping the foundations of those disciplines. Homotopy type theory opens up a fundamentally new direction in the foundat ..."
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The aim of this proposal is to enable a tightly knit group of expert researchers in logic, mathematics, and computer science to pursue a recent theoretical breakthrough that is reshaping the foundations of those disciplines. Homotopy type theory opens up a fundamentally new direction
ON THE HOMOTOPY TYPE OF DIFFEOMORPHISM GROUPS BY
"... Let M be a closed smooth manifold and Diffo(M) the identity component of the group of C diffeomorphisms of M. We are concerned here with the way in which the homotopy type of Diffo(M) depends on the smooth structure of M. Our principal result along these lines states that, if M and M2 are ..."
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Let M be a closed smooth manifold and Diffo(M) the identity component of the group of C diffeomorphisms of M. We are concerned here with the way in which the homotopy type of Diffo(M) depends on the smooth structure of M. Our principal result along these lines states that, if M and M2 are
Results 1  10
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1,239