منابع مشابه
An invitation to localic real functions
In the pointfree topological context of locales and frames, real functions on a locale L are represented as localic morphisms S(L)→ L(R) (i.e. frame homomorphisms L(R) → S(L)) where S(L) stands for the frame of all sublocales of L and L(R) denotes the frame of reals. This is reminiscent of dealing with (not necessarily continuous) real functions X → R as with continuous functions D(X)→ R where ...
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A [semi-]continuous real function of a frame (locale) L has up to now been understood as a frame homomorphism from the frame L(R) of reals into L [as a frame homomorphism (modulo some conditions) from certain subframes of L(R) into L]. Thus, these continuities involve different domains. It would be desirable if all these continuities were to have L(R) as a common domain. This paper demonstrates...
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1.2. Morphisms between locales. We introduced the above ideas using a map of simplicial sets f : X → Y , but in actuality the definitions of F∗ and F∗ work whenever F is a open morphism of locales, as we shall soon see. To get to that point, however, it is best to start all over, by taking X and Y to be arbitrary locales and considering an arbitrary adjunction f∗ : Y //X : f∗ oo as a morphism F...
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We prove that the maximal Hausdorff compactification χf of a T2-compactifiable mapping f and the maximal Tychonoff compactification βf of a Tychonoff mapping f (see [P]) are perfect. This allows us to give a characterization of all perfect Hausdorff (respectively, all perfect Tychonoff) compactifications of a T2-compactifiable (respectively, of a Tychonoff) mapping, which is a generalization of...
متن کاملG-Perfect nonlinear functions
Perfect nonlinear functions are used to construct DES-like cryptosystems that are resistant to differential attacks. We present generalized DES-like cryptosystems where the XOR operation is replaced by a general group action. The new cryptosystems, when combined with G-perfect nonlinear functions (similar to classical perfect nonlinear functions with one XOR replaced by a general group action),...
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ژورنال
عنوان ژورنال: Algebra universalis
سال: 2020
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-020-00661-x