نتایج جستجو برای: l category
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In the early 1990’s the authors proved that the full subcategory of ‘suplattices’ determined by the constructively completely distributive (CCD) lattices is equivalent to the idempotent splitting completion of the bicategory of sets and relations. Having many corollaries, this was an extremely useful result. Moreover, as the authors soon suspected, it specializes a much more general result. Let...
5 Goguen’s category of V-sets whose objects are functions with values in a pre-ordered set and morphisms are suitable maps is shown to be a topological construct if and only if the pre-ordered set is a complete lattice; in particular the category Set(L) of L-sets, 7 also considered by Goguen, is topological over Set. The special case when the considered pre-ordered set is L with the “mapping to...
We provide an extension of the notion of chain-valued frame introduced by Pultr and Rodabaugh in [Category theoretic aspects of chain-valued frames: parts I and II, Fuzzy Sets and Systems 159 (2008) 501–528 and 529–558] by relaxing the assumption that L be a complete chain. As a result of this investigation we formulate the category L-Frm of L-frames under the weaker assumption that L is a comp...
is text "abstracts/icde98.txt" postscript is ps "papers/icde98.ps.gz" category "Semistructured Data" category "Programming Languages" g Figure 2: Fragment of data graph for example site 1. // Create Root & Abstracts page and link them 2. CREATE RootPage(), AbstractsPage() 3. LINK RootPage() >”AbstractsPage” >AbstractsPage() 4. 5. // Create a presentation for every publication x 6. WHERE Publica...
We develop a general framework for various lattice-valued, probabilistic and approach uniform convergence spaces. To this end, we use the concept of $s$-stratified $LM$-filter, where $L$ and $M$ are suitable frames. A stratified $LMN$-uniform convergence tower is then a family of structures indexed by a quantale $N$. For different choices of $L,M$ and $N$ we obtain the lattice-valued, probabili...
For a cochain complex one can have the cohomology functor. In this paper we introduce the notion of precohomology for a cochain that is not a complex, i, e" dq+l 0 d q may not be zero, Such a cochain, with obJects and morphisms of an abelian category A, is called a cochain precomplex whose category is denoted by Pco (A). If a cochain precomplex is actually a cochain complex, then the notion of ...
Let K be a simplicial complex and suppose that K collapses onto L. Define n to be 1 minus the minimum number of collapsible sets it takes to cover L. Then the discrete Lusternik–Schnirelmann category of K is the smallest n taken over all such L. In this paper, we give an algorithm which yields an upper bound for the discrete category. We show our algorithm is correct and give several bounds for...
This paper solves the directed counterpart of a problem addressed in Language in Action (Van Benthem 1991: 108–9). There it is observed that LP derivability in an atomic goal category can be mimicked by LP derivability using one atomic category only. The abbreviation LP refers to the non-directed Lambek calculus with Permutation, a system which has also become known as the Lambek-Van Benthem ca...
A nested case-control study, including 830 cases and 992 controls from 7 cohorts, was conducted to evaluate the association of circulating 25-hydroxyvitamin D (25(OH)D), the best indicator of vitamin D status, with risk of endometrial cancer. Matching factors included age at blood donation, date of blood donation, and race. Conditional logistic regression was used in the main analysis. The medi...
We construct a functor from the category of modules over the trigonometric (resp. rational) Cherednik algebra of type gll to the category of integrable modules of level l over a Yangian for the loop algebra sln (resp. over a subalgebra of this Yangian called the Yangian deformed double loop algebra) and we establish that it is an equivalence of categories if l + 2 < n.
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