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Leibniz's Principles and Topological Extensions
topological extensions nonstandard models transfer principle
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2011/2/24
Three philosophical principles are often quoted in connection with Leib-niz: “objects sharing the same properties are the same object”, “everything can possibly exist, unless it yields contradiction”,...
Ascending HNN extensions of polycyclic groups have the same cohomology as their profinite completions
Ascending HNN extensions of polycyclic groups profinite completions
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2010/12/6
Assume G is a polycyclic group and : G → G an endomorphism. Let G∗ be the ascending HNN extension of G with respect to ; that is, G∗ is given by the presentation G∗ = hG, | t...
Self Adjoint Extensions for the Neumann Laplacian and Applications
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2007/12/12
A new technique is proposed for the analysis of shape optimization problems. The technique uses the asymptotic analysis of boundary value problems in singularly perturbed geometrical domains. The asym...