منابع مشابه
Duality Theorems and Theorems of the Alternative
It is shown, in a completely general setting, that a theorem of the alternative is logically equivalent to a duality theorem linking two constrained optimization problems. A standard technique for proving a duality theorem linking two constrained optimization problems is to apply an appropriate theorem of the alternative, sometimes called a transposition theorem (see, e.g., Mangasarian [2], Roc...
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In this paper we take some classical ideas from commutative algebra, mostly ideas involving duality, and apply them in algebraic topology. To accomplish this we interpret properties of ordinary commutative rings in such a way that they can be extended to the more general rings that come up in homotopy theory. Amongst the rings we work with are the differential graded ring of cochains on a space...
متن کاملDuality Principles and Reduction Theorems
We introduce a fairly general class of Banach function spaces X given by kfk X := kf k X , where f is deened on a totally {{nite non-atomic measure space (R;), f is the non-increasing rearrangement of f with respect to and X is certain rearrangement-invariant space over the interval (0; (R)). This class contains for example classical Lorentz spaces. We prove a general duality principle for thes...
متن کاملDuality theorems for simplicial complexes
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1935
ISSN: 1802-114X
DOI: 10.21136/cpmf.1935.121252