On some famous examples in dimension theory
نویسندگان
چکیده
منابع مشابه
Some Examples in Cohomological Dimension Theory
It is well-known that dimX ≤ n if and only if every map of a closed subspace of X into the n-dimensional sphere Sn can be extended over X. It is also well-known that for the cohomological dimension dimGX of X with respect to an abelian coefficient group G, dimGX ≤ n if and only if every map of a closed subspace of X into the Eilenberg-Mac Lane complex K(G,n) extends over X. These properties giv...
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We discuss the ground state energy, E(g), of some anharmonic oscillators p2 + x 2 _ 1 + P(x, g), where P(x, g) is a polynomial in x and g. Included is an example with a convergent perturbation series converging to the wrong answer and counterexamples to Dyson's argument on instability implying the divergence of perturbation theory and to the assertion that terms lower order in x to the same ord...
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In 1696 an Act of Parliament established the Bristol Corporation of the Poor. This brought together the Poor Law arrangements of all the parishes in the City. It was hoped that-the inmates by their work would produce goods which would have a ready sale and thus defray the costs. For this purpose the Aldworth mansion was purchased from a group of merchants, one of whom was Edward Colston. This b...
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چکیده ندارد.
15 صفحه اولSome Definable Galois Theory and Examples
We make explicit certain results around the Galois correspondence in the context of definable automorphism groups, and point out the relation to some recent papers dealing with the Galois theory of algebraic differential equations when the constants are not “closed” in suitable senses. We also improve the definitions and results from [15] on generalized strongly normal extensions, using this to...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1990
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-134-3-213-220