«h space»
۳۴٬۳۰۸ نتیجهOn Certain Co–h Spaces Related to Moore Spaces
We show that certain co–H spaces, constructed by Anick and Gray, carry a homotopy co–associative and co–commutative co–H structure.
Loop Spaces of H-spaces with Finitely Generated Cohomology
Let p be an odd prime. We assume that all spaces are completed at p in the sense of Bousfield-Kan [2], and the cohomologies are taken with Z/pcoefficients unless otherwise specified. In this paper, we investigate the homotopy type for the loop space of an H-space whose cohomology
Teichmüller Theory and the Universal Period Mapping via Quantum Calculus and the H Space on the Circle
Quasisymmetric homeomorphisms of the circle, that arise in the Teichmüller theory of Riemann surfaces as boundary values of quasiconfomal diffeomorphisms of the disk, have fractal graphs in general and are consequently not so amenable to usual analytical or calculus procedures. I
RANK p − 1 MOD - p H - SPACES
Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p-local H-spaces of rank l < p−1. The first construction goes through when l = p− 1 and we show the second does as well. However, the space produced need not be an H-s
5 The Large Footprints of H - Space on Asymptotically Flat Space - Times Carlos
We show that certain structures defined on the complex four dimensional space known as H-Space have considerable relevance for its closely associated asymptotically flat real physical space-time. More specifically for every complex analytic curve on the H-space there is an asympt
Higher Homotopy Commutativity of H-spaces with Finitely Generated Cohomology
Suppose X is a simply connected mod p H-space such that the mod p cohomology H∗(X;Z/p) is finitely generated as an algebra. Our first result shows that if X is an An-space, then X is the total space of a principal An-fibration with base a finite An-space and fiber a finite produc
Pacific Journal of Mathematics Loop Spaces of H-spaces with Finitely Generated Cohomology
Suppose X is a simply connected mod p H-space such that the mod p cohomology H ((X) is a nitely generated algebra. We show that the loop space X is homotopy equivalent to a nite product of Eilenberg-MacLane spaces K ; 1) for i 1. This is a generalization of the result due to Lin,
Finite Connected H-spaces Are Contractible
The non-Hausdorff suspension of the one-sphere S1 of complex numbers fails to model the group’s continuous multiplication. Moreover, finite connected H-spaces are contractible, and therefore cannot model infinite connected non-contractible H-spaces. For an H-space and a finite mo
On maps into a co-H-space
We prove that the domain of a map X —> Y to a co-H-space inherits a coH-structure provided some dimensionality and connectivity properties hold. Then we deduce that a space X admits a co-H-structure if and only if on all its skeletons there is such a structure as well. Moreover,
Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum
The purpose of this work is to return, with a new observation and rather unconventional point of view, to the study of asymptotically flat solutions of Einstein equations. The essential observation is that from a given asymptotically flat spacetime with a given Bondi shear, one c