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Showing 1 to 3 of 3 for “"intersection theorem"”.
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The theory and some applications of Pták's method of non-discrete mathematical induction
… function generalizations of Banach's Fixed Point Theorem and Edelstein's Extended Contraction Principle; (ii) by connecting the Induction Theorem to Baire's Category Theorem and Cantor's Intersection Theorem. Throughout the exposition the editorial "we" is to be understood in the sense of Halmos [ …
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On Projective Planes & Rational Identities
… geometry is the equivalence of Desargues' Theorem to the presence of an underlying division ring in a projective plane. Supplementing this correspondence is the general theory of intersection theorems, which, restricted to desarguian projective planes P, corresponds precisely to the theory …
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On homomorphisms between specht modules for the Ariki-Koike algebra
… thesis we provide and analogue of James’s kernel intersection theorem, the latter having been a key tool in the study of homomorphisms between Specht modules in the setting of both the symmetric group and the Iwahori-Hecke algebra of type A. We also provide and outline of how this result may be …