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A manifold is a Poincaré duality space without singularities. McCrory obtained a homological criterion of a global nature for deciding if a polyhedral Poincaré duality space is a homology manifold, i.e. if the singularities are homologically inessential. A homeomorphism of manifolds is a degree 1 map without double points. In this paper combinatorially… (More)
The ets transcription factor PU.1 is an important regulator of the immunoglobulin heavy chain gene intronic enhancer, or mu enhancer. However, PU.1 is only one component of the large multiprotein complex required for B cell-specific enhancer activation. The transcriptional coactivator HMG-I(Y), a protein demonstrated to physically interact with PU.1,… (More)
Extracts of human lymphoblastoid cell lines derived from infectious mononucleosis patients and from normal individuals yielded an antigen, which was immunologically closely related, if not identical, to the soluble (S) antigen present in cell lines derived from Burkitt lymphoma patients. This antigen was found in both the EB virus-positive and EB… (More)
In this paper our primary concern is with the establishment of weighted Hardy inequalities in L(Ω) and Rellich inequalities in L(Ω) depending upon the distance to the boundary of domains Ω ⊂ R with a finite diameter D(Ω). Improved constants are presented in most cases.
We prove the minimax principle for eigenvalues in spectral gaps introduced in  based on an alternative set of hypotheses. In the case of the Dirac operator these new assumptions allow for potentials with Coulomb singularites. 1991 Mathematics Subject Classi cation: 47A75, 81Q10
In this paper, we prove that the distance function of an open connected set in R with a C boundary is superharmonic in the distribution sense if and only if the boundary is weakly mean convex. We then prove that Hardy inequalities with a sharp constant hold on weakly mean convex C domains. Moreover, we show that the weakly mean convexity condition cannot be… (More)
We prove the minimax principle for eigenvalues in spectral gaps introduced in 5] based on an alternative set of hypotheses. In the case of the Dirac operator these new assumptions allow for potentials with Coulomb singularites.
Abstract. The main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent improved Sobolev inequality derived by M. Ledoux which brings out the connection between Sobolev embeddings and heat kernel bounds. Here Ledoux’s technique is applied to the… (More)
An analysis is given of the spectral properties of perturbations of the magnetic bi-harmonic operator ∆A in L(R), n=2,3,4, where A is a magnetic vector potential of Aharonov-Bohm type, and bounds for the number of negative eigenvalues are established. Key elements of the proofs are newly derived Rellich inequalities for ∆A which are shown to have a bearing… (More)
 J.J. Buckley. Fuzzy Probability and Statistics. Springer, 2006.  J.J. Buckley. Fuzzy Statistics. Wu-Nan Books, Taiwan, 2006. Chinese translation of Fuzzy Statistics, Springer, 2004.  N. Chernov and R. Markarian. Chaotic billiards. AMS, 2006.  Nikolai Chernov, Yulia Karpeshina, Ian W. Knowles, Roger T. Lewis, and Rudi Weikard, editors. Recent… (More)