Westerdale, T.H.: Quasimorphisms or Queasymorphisms? Modelling Finite Automaton Environments. In: Rawlins [519], pp. 128–147Thomas H. Westerdale. Quasimorphisms or Queasymorphisms? Modelling Finite Automaton Environments. In Rawlins {422}, pages 128-147....
We show that a group admits a non-zero homogeneous quasimorphism if and only if it admits a certain type of action on a poset. Our proof is based on a construction of quasimorphisms which generalizes Poincar\\'e--Ghys' construction of th... GB Simon,T Hartnick - 《Mathematics》 被引...
;证明Tor symmetric, 对原projective resolution 取cone X, 为了对X tensor这个resolution, 把tensor的finite projective resolution看成是从这个resolution拆出来两个complex的morphism的cone, 把cone X即complex代入到这个cone中, 对dimension of finite complex作induction, 得到quasi-isomorphism, i.e. Hn() equals3....
Abelian groups without finite rank twisting at an accuracy of quasi-morphismFomin Alexander Alexandrovich
We say that a Lie algebra g is quasi-state rigid if every Ad-invariant continuous Lie quasi-state on it is the directional derivative of a homogeneous quasimorphism. Extending work of Entov and Polterovich, we show that every reductive Lie algebra, as well as the algebras Cn u(n), n...
The most striking results that we obtain are certainly that the linear span of finite spaces carries the structure of the enveloping algebra of aB∞-algebra, and that there are natural (Hopf algebraic) morphisms between finite spaces and quasi-symmetric functions. In the process, we introduce ...
quasi-diagonal iso-morphismsLet 1 < anoo, K be a function on the set of positive integers into itself and x denotesthe characteristic function of [0, co). We consider the Kothe spaces of type D_iD(κ,γ, a) =\nκ([a_(pn)])where apn=exp([p+ γnX(pκ_n)] an),p iEN,...
If C is a strict braided monoidal category in which the idempotent morphisms have a canonical split, we find conditions under which the antipode of a Hopf (co)quasigroup is an isomorphism. We also prove that the object of (co)invariants of a finite Hopf (co)quasigroup in is an ...
The adjointness isomorphism Hom(GH,A)Hom(G,Hom(H,A)) takes split quasi- epimorphisms to split quasi-monomorphisms. Some results of Warfield from 1968 are looked over in a new light.doi:10.1016/0021-8693(89)90089-6E.L LadyElsevier Inc.Journal of Algebra...
The paper reports on an investigation of the structure of line-transitive automorphism groups of a finite linear space. It follows from a result of Richard Block that such a group G is also point-transitive. It has been proved by several people independently that, if in addition G is ...