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921.
We consider a reaction-diffusion system of the activator-inhibitor type with boundary conditions given by inclusions. We show that there exists a bifurcation point at which stationary but spatially nonconstant solutions (spatial patterns) bifurcate from the branch of trivial solutions. This bifurcation point lies in the domain of stability of the trivial solution to the same system with Dirichlet and Neumann boundary conditions, where a bifurcation of this classical problem is excluded. 相似文献
922.
The classical AtiyahHirzebruch spectral sequence relates the ordinary homology with coefficients in h_*(*) to h*(-). We study a spectral sequence converging to h*(F(-)) where F is a (reasonable) functor on spaces. We determine precisely when this spectral sequence collapses and we develop the basic elementary theory of such functors. When F is a reduced homotopy exact functor, H*(F(-)) is a homology theory and this reduces to the classical case of Atiyah–Hirzebruch. We calculate various examples to show that the theory is nontrivial. 相似文献
923.
Marco Grandis 《Applied Categorical Structures》1997,5(1):75-97
We study here a notion of simplicial satellites, as a first step towards a characterisation of simplicial derived functors, a problem unsolved since the latter were introduced.The problem comes from the fact that, in contrast with the abelian case, simplicial derived functors do not produce by themselves an exact sequence. Our solution consists in extending them to commutative k-cubes, for all k, forming thus an exact system of functors universal within the connected ones; or, in other words, a system of simplicial satellites. The tool we develop here for this extension is the homotopy kernel of a commutative k-dimensional cubic diagram, generalising the homotopy kernel of a map; its 2-dimensional version has already been proved essential in other homotopical topics. 相似文献
924.
For a Köthe sequence space, the classes of 0-nuclear spaces and spaces with the 0-property are introduced and studied and the relation between them is investigated. Also, we show that, for 0c
0, these classes of spaces are in general different from the corresponding ones for 0=c
0, which have been extensively studied in the non-archimedean literature (see, for example, [1]–[6]). 相似文献
925.
We consider the homotopy type of classifying spaces , where is a finite -group, and we study the question whether or not the mod cohomology of , as an algebra over the Steenrod algebra together with the associated Bockstein spectral sequence, determine the homotopy type of . This article is devoted to producing some families of finite 2-groups where cohomological information determines the homotopy type of .
926.
I. A. Yurov 《Mathematical Notes》1998,63(6):823-836
Let {a
n
}
n
=0/
be a uniformly distributed sequence ofp-adic integers. In the present paper we study continuous functions close to differentiable ones (with respect to thep-adic metric); for these functions, either the sequence {f(a
n
)}
n
=0/
is uniformly distributed over the ring ofp-adic integers or, for all sufficiently largek, the sequences {f
k
(k(an))}
n
=0/
are uniformly distributed over the residue class ring modp
k
, where
k
is the canonical epimorphism of the ring ofp-adic integers to the residue class ring modp
k
andf
k
is the function induced byf on the residue class ring modp
k
(i.e.,f k
(x)
=f(
k
(x)) (modp
k
)). For instance, these functions can be used to construct generators of pseudorandom numbers.Translated fromMatematicheskie Zametki, Vol. 63, No. 6, pp. 935–950, June, 1998.In conclusion, the author wishes to express his deep gratitude to V. S. Anashin for permanent attention to this research and for support. 相似文献
927.
A. A. Ryabinin 《Mathematical Notes》1998,64(5):629-633
The system
, where Λ={λ
n
} is the set of zeros (of multiplicitiesm
n
) of the Fourier transform
of a singular Cantor-Lebesgue measure, is examined. We prove thate(Λ) is complete and minimal inL
p
(−a, a) withp≥1, and that |L(x+iy)|2 does not satisfy the Muckenhoupt condition on any horizontal line Imz=y≠0 in the complex plane. This implies thate(Λ) does not have the property of convergence extension.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 728–733, November, 1998. 相似文献
928.
A. Makagon A. G. Miamee B. S. W. Schrö der 《Proceedings of the American Mathematical Society》1998,126(6):1821-1825
In this note a recursive type condition for positivity of the angle between past and future for -variate stationary sequences is provided. In the case it gives a simple different proof of a result due to Solev and Tserkhtsvadze on basicity of bivariate stationary sequences.
929.
Ulrich Haag 《K-Theory》1998,13(1):81-108
We study the relation of Z2equivariant and Z2graded KK-theory. The former is the universal stable, split exact and homotopy invariant theory on the category of Z2graded C*algebras and graded homomorphisms (Theorem 1). We obtain an abstract characterization for the product of the graded KK-functor (Theorem 2). We give generalizations to Z2graded C*algebras of the Universal Coefficent Theorem, Künneth Theorem and Künneth Theorem for tensor products. We prove some results about graded crossed products of Thom isomorphism and Pimsner-Voiculescu type (Theorem 3 and Corollary 2) and compute an example. We obtain a split surjective map KK(A,B) KK(A0,B0) commuting with products, where A0is a canonically defined trivially graded algebra for any Z2-graded A. 相似文献
930.
Claude L. Schochet 《K-Theory》1998,14(2):197-199
In this note we correct a mistake in K-Theory 10 (1996), 49–72. In that paper we asserted that under bootstrap hypotheses the short exact sequence
which arises in the computation ofKK(A,B)
(is a split sequence. This is not always the case. ThusKK(A,B)
(decomposes into the three components
and
However, this is a decomposition in the sense of composition series, not as three direct summands. The same correction applies to the Milnor sequence. If there is no primepfor which bothK(A)
(andK(B)
*haveptorsion then the decomposition is indeed as direct summands. The other results of the paper are unaffected. 相似文献