共查询到20条相似文献,搜索用时 484 毫秒
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A. A. Lobuzov 《Mathematical Notes》1976,20(5):973-976
We construct a one-to-one map of the topological direct sum R() of countably many copies of the real line onto R(){0} which is infinitely differentiable along with its inverse, in the sense of Michael-Bastiani.Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 741–746, November, 1976. 相似文献
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In p.32 of [1] the following problem is posed: A problem on Peano mapping Let R be the set of positive rational integers with usual operation a+b≡s(a,b) and a·b≡m(a,b). Every one-to-one(Peano) mapping c=p(a,b) on R×R to all R may serve so associate with s(a,b) and m(a,b) two functions σand μ on R to R by the definitions σ(c)=σ(p(a,b))= s(a,b), and μ(c)=μ(p(a,b))= m(a,b). Does there exist a Peano mapping p(a,b) such that "addition commutes with multiplication" in the sense that σ(μ(c))=μ(σ(c))for all c of R? To illustrate, we note 相似文献
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Jürgen Pöschel 《Regular and Chaotic Dynamics》2011,16(1-2):17-23
Recently Rüssmann proposed a new variant of kam-theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of constant vector fields on a torus. As a side effect the result may be the shortest complete kam proof for perturbations of integrable vector fields available so far. 相似文献
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Ohne ZusammenfassungUnserem Lehrer,Heinrich Behnke, in Dankbarkeit und Verehrung zum 60. Geburtstag gewidmetDas Hauptresultat der vorliegenden Arbeit wurde in einer CR-Note der Verff. angekündigt; vgl. [18] 相似文献
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证明了自反Banach空间X上的等价w2R范数全体构成一个剩余集;同时证明了X闭子空间上等价的w2R范数均可延拓为X上等价的w2R范数.特别地,当X是可分时,上述w2R范数可替换为2R范数. 相似文献
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TheRelativePropertiesofGradedRingRand SmashProductR#GWeiJunchao(魏俊潮);LiLibin(李立斌)(YangzhouInstituteofTechnology,Yangzhou,2250... 相似文献
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Qin Yue 《Mathematische Zeitschrift》2009,261(1):23-37
Let F be a number field with odd class number, and let E be a quadratic extension of F. Our main aim is to prove that the 4-rank of the class group C(E) of E is equal to m − 1 − rank
R
E/F
, where m is the number of primes of F ramifying in E, R
E/F
is the generalized Rédei-matrix of local Hilbert symbols with coefficients in and the rank is the rank over . We determine the generalized Rédei-matrices R
E/F
explicitly for biquadratic number fields E.
The research is partly supported by NNSF of China (No. 10371054, No. 10771100) and the Morningside Center of Mathematics in
Beijing (MCM). 相似文献
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Ohne Zusammenfassung 相似文献
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Hans Freudenthal 《Mathematische Annalen》1963,150(2):136-149
Ohne ZusammenfassungMeinem FreundeB. L. van der Waerden zum 60. Geburtstag 相似文献
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Norbert Brunner 《manuscripta mathematica》1982,38(3):375-379
The theorem, that -compact spaces are Lindelöf, is equivalent to the countable axiom of choice. Variants of this theorem are compared with weak versions of the axiom of choice. 相似文献
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Michael Schneider 《manuscripta mathematica》1976,18(4):391-397
Let X be a complex space and YX a closed analytic subspace. If Y is Stein then for every compact subset KY one can find arbitrarily small Stein open neighbourhoods of K in X. 相似文献
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B. Eckmann 《Commentarii Mathematici Helvetici》1954,28(1):329-340
Ohne Zusammenfassung
Herrn Heinz Hopf in Verehrung und Freundschaft zum 60. Geburtstag gewidmet 相似文献
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