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Techniques of topology and differential geometry in general relativity. A simple derivation of the general redshift formula. Some remarks on a radiating solution of the EinsteinMaxwell equations. Conservation laws on manifolds. Structure of singularities. Lattice transformations and charge quantization. On an EinsteinMaxwell field with a null source. The luminosity of a collapsing star. A class of inextendible Weyl solutions. Scaling in function spaces. On the spherical symmetry of a static perfect fluid. Differentiable manifolds with singularities. Nonvacuum ADaM field equations. General relativity as a dynamical system on the manifold a of Riemannian metrics which cover diffeomorphisms.
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