Geometric realization of Adams maps

Let G/P be a homogenous space with G a compact connected Lie group and P a connected subgroup of G of equal rank. As the rational cohomology ring of G/P is concentrated in even dimensions, for an integer k we can define the Adams map of type k to be l _k : H*(G/P, ℚ) → H*(G/P, ℚ), l _k (u) = k ⁱ u, u ∈ H ²ⁱ (G/P, ℚ). We show that if k is prime to the order of the Weyl group of G, then l _k can be induced by a self map of G/P. We also obtain results which imply the condition that k is prime to the order of the Weyl group of G is necessary.     

SOME NEW FAMILIES OF FILTRATION FIVE IN THE STABLE HOMOTOPY OF SPHERES

This study proves a general result on convergence of α2x ∈ ExtA^s＋2.tq＋2q＋1 （Zp, Zp） in the Adams spectral sequence and as a consequence, the study detects some new families in the stable homotopy groups of spheres πtq＋2q-4S which is represented in the Adams spectral sequence by α2fn,α2fn,α2huhmhn ∈ ExtA^5,tq＋2q＋1（Zp,Zp） with tq=p^n＋1q＋2p^nq,2p^n＋1q_P^nq,p^uq＋p^mq＋p^nq,respectively, where α2∈Extα^2,2q＋1（Zp,Zp）,fn∈ExtA^3,p^n＋1q＋2p^nq（Zp,Zp）,fn∈ExtA^3,2p^n＋2q＋p^nq（Zp,Zp）,hn∈ExtA^1,p^nq（Zp,Zp）and p≥5 is a prime,q=2（p=-1）,n≥2.     

洛威尔（Lowell，Percival，1855-1926）美国天文学家（Astronomer，America）

洛威尔出身于贵族家庭。1876年以优等成绩毕业于哈佛大学。他对数学感兴趣，年幼时还涉猎过天文学。斯基帕雷利报道的火星上存在的“运河”，使他十分激动。洛威尔废寝忘食地研究火星15年，拍摄了几千张火星照片。毫无疑问他看到了（或者说他以为他看到了）运河。他画出了详细的图，最后包括500条以上的运河。在勒威耶比’和亚当斯发现海王星之后，天王星运动中的歧异也还不完全明白。洛威尔相信这起因于海王星之外的另一颗行星。     

SOME NEW FAMILIES OF FILTRATION FOUR IN THE STABLE HOMOTOPY OF SPHERES

1.IntroductionLetAbethemodSteenrodalgebraandSthespherespectrumlocalizedatanoddprime.TodeterminethestablehomotopygroupsofspheresisoneofthecentralprobleminhomotopytheoryOneofthemaintoolstoreachitistheAdamsspectralsequence(ASS)wherethe-termisthecohomolo...     

Multilinear fractional integrals on Morrey spaces

In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality.     

Intrinsic Knotting of Almost Complete Partite Graphs

Let G be a complete p-partite graph with 2 edges removed, p ≥ 7, which is intrinsically knotted. Let J represent any graph obtained from G by a finite sequence of △-Y exchanges and/or vertex expansions. In the present paper, we show that the removal of any vertex of J and all edges incident to that vertex produces an intrinsically linked graph. This result offers more intrinsically knotted graphs which hold for the conjecture presented in Adams＇ book （Adams C. The Knot Book. New York： W. H. Freeman and Company, 1994）, that is, the removal of any vertex from an intrinsically knotted graph yields an intrinsically linked graph.     

IrO_2改性钛网对固体聚合物电解质电解器集电极层电化学性能的影响

采用亚当斯熔融法(Adams fusion method)在钛网上包覆Ir O2催化剂,并将其用作固体聚合物电解质(SPE)电解器的阳极集电极,发现其可以显著降低电解过电位.通过X射线多晶衍射(XRD)和透射电子显微镜(TEM)分析发现,包裹在钛网上的Ir O2催化剂晶粒为2.0~3.0 nm,结晶度良好;交流阻抗谱(EIS)和循环伏安(CV)分析结果表明,改性的钛网集电极层可增加三相反应活性点,使三相反应通道由催化层延伸到集电极层,活性催化剂表面积增大,从而大幅度降低了活化阻抗,电解性能获得提升.通过对不同Ir O2催化剂负载量改性的钛网进行研究发现,随着钛网负载Ir O2量的增加,在相同电流密度下,极化曲线的过电位先减小后增加,当Ir O2负载量为1.38%(质量分数)时,电解池的过电位最低,在1 A/cm2电流密度下,过电位为2.028 V.     

Maps from a Simply Connected Space to Flag Manifold G／T

In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied. As an application, the structure of the homotopy set for self-maps of flag manifolds is determined.     

A pull back theorem in the Adams spectral sequence

This paper proves that, for any generator x∈ExtA^s,tq（Zp,Zp）, if （1L ∧i）＊Ф＊（x）∈ExtA^s＋1,tq＋2q（H＊L∧M, Zp） is a permanent cycle in the Adams spectral sequence （ASS）, then b0x ∈ExtA^s＋1,tq＋q（Zp, Zp） also is a permenent cycle in the ASS. As an application, the paper obtains that h0hnhm∈ExtA^3,pnq＋p^mq＋q（Zp, Zp） is a permanent cycle in the ASS and it converges to elements of order p in the stable homotopy groups of spheres πp^nq＋p^mq＋q-3S, where p ≥5 is a prime, s ≤ 4, n ≥m＋2≥4 and M is the Moore spectrum.