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21 Aug 2008: B. 85]) such that:. (i) the base category B has nite products,. ... x:t is not necessarily. dened in U. For example, in any c-pca U where there are elements a; b 2 U such that a b is.

19 Aug 2008: C(B, AX ) = C(B, A)X. V -natural in B. For instance, taking V to be P oset, this allows us not only toconsider objects such as AA in a ... structures on categories, such as finiteproduct or finite coproduct, typically with many others too.

21 Aug 2008: B. 85]) such that:. (i) the base category B has nite products,. ... x:t is not necessarily. dened in U. For example, in any c-pca U where there are elements a; b 2 U such that a b is.

1 Feb 2008: Let γ : [a,b] C be a (continuous) curve. Suppose we have a = a0 < a1 < <an1 < an = b such that for each 0 i < m the restriction γi of γ to ... U is starlike if there exists a0 U such that for every b U the line segementfrom a0 to b lies in U.

27 Aug 2008: 6. Secondary reduction rules. 5 The Categorical ModelMuch work has been done on providing such (categorical) models of IntuitionisticLinear Logic. ... coalgebracarries naturally the structure of a commutative comonoid in such a way that coal-gebra maps

27 Aug 2008: 6. Secondary reduction rules. 5 The Categorical ModelMuch work has been done on providing such (categorical) models of IntuitionisticLinear Logic. ... coalgebracarries naturally the structure of a commutative comonoid in such a way that coal-gebra maps

19 Aug 2008: The first idea is to generalisefrom the category B to a category BA, parameterised by a small categoryA, such that B 1 = B. ... Xn] :(. i[n] Ai) // Set be the unique presheaf such that for all i [n],.

20 Feb 2008: A such that M and M′′ belong to B, then M′ also belongs to B[17, 12.4.2]. ... module and as such is killed by some power of the central element z.

8 Feb 2008: Show that such an enemy can find our common key if K = 3. ... n) is the output from a LFSR of length d. (c) The period of (xn)n>0 is the least integer r > 1 such that xnr = xn for all sufficiently largen.

22 Jan 2008: If further such an action is a partial function then the automatonis deterministic. ... See [7]and [8] for ramifications of the theory of such special traced monoidal categories.) WritePar for the traced monoidal category just described.