1,307 research outputs found

    Turning Blind Eyes and Profits: The Foreign Role in Argentina’s Dirty War

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    When faced with social unrest and an inability to participate in the political sphere, conflict and rebellion blossom. When economics preside over politics, all interaction is divisive and will always be composed of varying layers of two groups: the oppressor and the oppressed. Rather than fighting economic systems then, we should be fighting for human rights. We should fight to become more informed citizens, understanding that if repression can be supported abroad, it can be supported domestically too

    On the weak and pointwise topologies in function spaces

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    For a compact space KK we denote by Cw(K)C_w(K) (Cp(K)C_p(K)) the space of continuous real-valued functions on KK endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that KK is an infinite (metrizable) compact space. Is it true that Cw(K)C_w(K) and Cp(K)C_p(K) are homeomorphic? We show that the answer is "no", provided KK is an infinite compact metrizable CC-space. In particular our proof works for any infinite compact metrizable finite-dimemsional space KK

    On functional tightness of infinite products

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    A classical theorem of Malykhin says that if {Xα:ακ}\{X_\alpha:\alpha\leq\kappa\} is a family of compact spaces such that t(Xα)κt(X_\alpha)\leq \kappa, for every ακ\alpha\leq\kappa, then t(ακXα)κt\left( \prod_{\alpha\leq \kappa} X_\alpha \right)\leq \kappa, where t(X)t(X) is the tightness of a space XX. In this paper we prove the following counterpart of Malykhin's theorem for functional tightness: Let {Xα:α<λ}\{X_\alpha:\alpha<\lambda\} be a family of compact spaces such that t0(Xα)κt_0(X_\alpha)\leq \kappa for every α<λ\alpha<\lambda. If λ2κ\lambda \leq 2^\kappa or λ\lambda is less than the first measurable cardinal, then t0(α<λXα)κt_0\left( \prod_{\alpha<\lambda} X_\alpha \right)\leq \kappa, where t0(X)t_0(X) is the functional tightness of a space XX. In particular, if there are no measurable cardinals, then the functional tightness is preserved by arbitrarily large products of compacta. Our result answers a question posed by Okunev

    Structure determination of Au on Pt(111) surface:LEED, STM and DFT Study

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    Low-energy electron diffraction (LEED), scanning tunneling microscopy (STM) and density functional theory (DFT) calculations have been used to investigate the atomic and electronic structure of gold deposited (between 0.8 and 1.0 monolayer) on the Pt(111) face in ultrahigh vacuum at room temperature. The analysis of LEED and STM measurements indicates two-dimensional growth of the first Au monolayer. Change of the measured surface lattice constant equal to 2.80 Å after Au adsorption was not observed. Based on DFT, the distance between the nearest atoms in the case of bare Pt(111) and Au/Pt(111) surface is equal to 2.83 Å, which gives 1% difference in comparison with STM values. The first and second interlayer spacing of the clean Pt(111) surface are expanded by +0.87% and contracted by −0.43%, respectively. The adsorption energy of the Au atom on the Pt(111) surface is dependent on the adsorption position, and there is a preference for a hollow fcc site. For the Au/Pt(111) surface, the top interlayer spacing is expanded by +2.16% with respect to the ideal bulk value. Changes in the electronic properties of the Au/Pt(111) system below the Fermi level connected to the interaction of Au atoms with Pt(111) surface are observed

    A dichotomy for the convex spaces of probability measures

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    We show that every nonempty compact and convex space M of probability Radon measures either contains a measure which has `small' local character in M or else M contains a measure of `large' Maharam type. Such a dichotomy is related to several results on Radon measures on compact spaces and to some properties of Banach spaces of continuous functions.Comment: 10 page
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