共查询到20条相似文献,搜索用时 0 毫秒
1.
Ismet Karaca 《Transactions of the American Mathematical Society》1999,351(2):547-558
K. G. Monks has recently shown that the element has nilpotence height in the mod Steenrod algebra. Here the method and result are generalized to show that for an odd prime the element has nilpotence height in the mod Steenrod algebra.
2.
Robert D. Thompson 《Transactions of the American Mathematical Society》1998,350(5):1931-1944
In this paper we analyze the localization of , the fiber of the double suspension map , with respect to . If four cells at the bottom of , the th extended power spectrum of the Moore spectrum, are collapsed to a point, then one obtains a spectrum . Let be the James-Hopf map followed by the collapse map. Then we show that the secondary suspension map has a lifting to the fiber of and this lifting is shown to be a -periodic equivalence, hence an -equivalence.
3.
Steven P. Lalley 《Transactions of the American Mathematical Society》1997,349(11):4355-4365
An algorithm is given for computing the Hausdorff dimension of the set(s) of real numbers with representations , where each , a finite set of ``digits', and is a Pisot number. The Hausdorff dimension is shown to be , where is the top eigenvalue of a finite 0-1 matrix , and a simple algorithm for generating from the data is given.
4.
K. Jarosz 《Proceedings of the American Mathematical Society》1997,125(10):3129-3130
Let be a compact subset of the complex plane and let We show that the maximal ideal space of Banach algebras of Lipschitz functions, which are analytic on , coincides with
5.
Masayoshi Hata 《Transactions of the American Mathematical Society》1998,350(6):2311-2327
We shall show that the numbers and
are linearly independent over for any natural number . The key is to construct explicit Padé-type approximations using Legendre-type polynomials.
are linearly independent over for any natural number . The key is to construct explicit Padé-type approximations using Legendre-type polynomials.
6.
J. H. E. Cohn. 《Mathematics of Computation》1997,66(219):1347-1351
An effective method is derived for solving the equation of the title in positive integers and for given completely, and is carried out for all . If is of the form , then there is the solution , ; in the above range, except for with solution , , there are no other solutions.
7.
Let be a compact metric space, and let be a calibrated thin -ideal. Then is . This solves an open problem, which was posed by Kechris, Louveau and Woodin. Using our result we obtain a new proof of Kaufman's theorem concerning -sets and -sets.
8.
Zoran Spasojevic 《Proceedings of the American Mathematical Society》1996,124(12):3857-3865
For a partial order , let denote the statement that for every -increasing -sequence there is a -decreasing -sequence on top of such that is an -gap in . The main result of this paper is that . It is also shown, as a corollary, that but .
9.
10.
Sy D. Friedman W. Hugh Woodin 《Proceedings of the American Mathematical Society》1996,124(7):2211-2213
We show that the supremum of the lengths of prewellorderings of the reals can be , with inaccessible to reals, assuming only the consistency of an inaccessible.
11.
It is proved that there are precisely 4204 pairwise non-isomorphic Steiner systems invariant under the group and which can be constructed using only short orbits.
It is further proved that there are precisely 38717 pairwise non-isomorphic Steiner systems invariant under the group and which can be constructed using only short orbits.
12.
Thomas C. Hales 《Proceedings of the American Mathematical Society》1997,125(1):301-308
The fundamental lemma is a conjectural identity between the orbital integrals on two reductive groups. The fundamental lemma is required for the stabilization of the trace formula and for various applications to automorphic forms. This paper proves the fundamental lemma for the group and its endoscopic groups.
13.
Christopher J. Bishop 《Proceedings of the American Mathematical Society》1996,124(9):2695-2701
We show that a function on the unit disk extends continuously to , the maximal ideal space of iff it is uniformly continuous (in the hyperbolic metric) and close to constant on the complementary components of some Carleson contour.
14.
Antonio S. Granero Henryk Hudzik 《Proceedings of the American Mathematical Society》1996,124(12):3777-3787
In this paper we study some structural and geometric properties of the quotient Banach spaces , where is an arbitrary set, is an Orlicz function, is the corresponding Orlicz space on and , being the ideal of elements with finite support. The results we obtain here extend and complete the ones obtained by Leonard and Whitfield (Rocky Mountain J. Math. 13 (1983), 531-539). We show that is not a dual space, that , if for every , that has no smooth points, that it cannot be renormed equivalently with a strictly convex or smooth norm, that is a Grothendieck space, etc.
15.
Roger C. Alperin 《Proceedings of the American Mathematical Society》1996,124(10):2935-2941
We classify the normal subgroups of of index less than 960; they are all congruence subgroups.
16.
It is shown that if is an integral domain which is not a field, and is the subgroup of generated by all unipotent elements, then the quotient group has a free quotient of infinite rank.
17.
Charles H. Jepsen. 《Mathematics of Computation》1996,65(214):771-778
We determine all simple perfect dissections of rectangles into at most twelve rectangular elements. A computer search shows there are only eight such dissections, two of order 10, three of order 11, and three of order 12.
18.
W. G. Dwyer 《Proceedings of the American Mathematical Society》1998,126(7):2159-2167
We show that for the mod group cohomology of is not detected on diagonal matrices.
19.
We characterize weak compactness and weak conditional compactness of subsets of in terms of regular methods of summability. We also study when these results still hold using only convergence in the sense of Cesàro.
20.
Yoshiaki Fukuma 《Transactions of the American Mathematical Society》1996,348(10):4185-4197
Let be a smooth projective surface over and an ample Cartier divisor on . If the Kodaira dimension or , the author proved , where . If , then the author studied with . In this paper, we study the polarized surface with , , and .