We prove a strengthened version of a theorem of Lionel Schwartz that says that certain modules over the Steenrod algebra cannot be the mod 2 cohomology of a space. What is most interesting is our method, which replaces his iterated use of the Eilenberg–Moore spectral sequence by a single use of the spectral sequence converging to H(ΩX;Z/2) obtained from the Goodwillie tower for ΣΩX. Much of the...

This paper extends some results for the weighted Moore–Penrose inverse A+M,N in Hilbert space to the so-called weighted Minkowski inverse A⊕M,N of an arbitrary rectangular matrix A ∈ Mm,n in Minkowski spaces μ. Four methods are also used for approximating the weighted Minkowski Inverse A⊕M,N . These methods are: Borel summable, Euler–Knopp summable, Newton–Raphson and Tikhonov’s methods. c © 20...

We consider Lie algebroids over algebraic spaces (in short we call it as a-spaces) by considering the sheaf of Lie-Rinehart algebras. discuss about properties universal enveloping algebroid U(OX,L) a L an a-space (X,OX). This is done sheafification presheaf algebras for review extent to which structure (over special resembles bialgebras. In sequel present version Poincare-Birkhoff-Witt theorem ...

The paper introduces the approach to construction of the Lagrangian of the field (fields). This approach is based solely on the metric function of the Finsler space: the Lagrangian is constructed as the unit divided by the volume swept by the unit vector running through all the points of the indicatrix in the tangent space under the assumption of the tangent space being Euclidean. For the space...

Given a principal ideal domain R of characteristic zero, containing 1/2, and a two-cone X of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra FH(ΩX;R) to be isomorphic with the universal enveloping algebra of some R-free graded Lie algebra; as usual, F stands for free part, H for homology, and Ω for the M...

In this paper we study the class of square matrices A such that AA − AA is nonsingular, where A stands for the Moore–Penrose inverse of A. Among several characterizations we prove that for a matrix A of order n, the difference AA−AA is nonsingular if and only if R(A) ⊕ R(A) = Cn,1, where R(·) denotes the range space. Also we study matrices A such that R(A) = R(A).

Freed, Harvey, Minasian and Moore have proposed a mechanism to cancel the gravitational anomaly of the M-theory fivebrane coming from diffeomorphisms acting on the normal bundle. This procedure is based on a modification of the conventional M-theory Chern-Simons term. We compactify this space-time interaction to the ten-dimensional type IIA theory. We then analyze the relation to the anomaly ca...

We present a succinct way of obtaining all possible higher dimensional generalization of Quantum Yang-Baxter Equation (QYBE). Using the scheme, we could generate the two popular three-simplex equations, namely: Zamolodchikov’s tetrahedron equation (ZTE) and Frenkel and Moore equation (FME). E-mail address: [email protected] E-mail address: [email protected] The Quantum Yang-Baxter Equation (Q...

Wilson, E. Noe Dobrea, R. L. Fergason, J. L. Griffes, J. M. Moore, and A. D. Howard, Center for Earth and Planetary Studies, National Air and Space Museum, Smithsonian Institution, Washington, DC, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USGS, Flagstaff, AZ, Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA, NASA Ames Researc...

Envisat MIPAS measurements of CFC-11: retrieval, validation, and climatology L. Hoffmann, M. Kaufmann, R. Spang, R. Müller, J. J. Remedios, D. P. Moore, C. M. Volk, T. von Clarmann, and M. Riese Forschungszentrum Jülich, Institut für Chemie und Dynamik der Geosphäre (ICG-1), Jülich, Germany EOS, Space Research Centre, Department of Physics and Astronomy, University of Leicester, Leicester, UK J...