We examined how expectation influences perception of complex objects. Participants discriminated between normal and distorted images of famous faces or places. Word cues (mostly valid) indicated either the general category or the exact identity of the upcoming image pair. Whereas category cues did not affect performance, valid exemplar expectation led to performance benefits. Furthermore, discr...

We represent the elements of K 1 of an exact category by means of two-and three-edge loops in the triple G-construction. The corresponding algebraic data are double short exact sequences and non-commutative 33-diagrams of short exact sequences. We state conjectural relations for the elements of K 1 in terms of 3 3-diagrams. 1. Review of the G-and the triple G-construction In GG] Gillet and Gray...

(1.1) H = {(x, y) ∈ (C) × C : y1y2 + p(x) = z}, Here, p : (C) → C is the superpotential mirror to Y (following [7] or [9]), and z is any regular value of p. H is an affine threefold with trivial canonical bundle. Hence, it has a Fukaya category Fuk(H), whose objects are compact exact Lagrangian submanifolds equipped with gradings and Spin structures. This is an A∞-category over C. Consider the ...

One of the earliest theorems in category theory stated that an abelian category could be represented faithfully by exact functors into the category Ab of abelian groups [Freyd, 1964], [Lubkin, 1961] and [Heron, unpublished]. Then Mitchell [1965] showed that every such category had a full exact embedding into a module category. An equivalent formulation is that every abelian category into a cate...

The category of representations of a finite quiver in the category of sheaves of modules on a ringed space is abelian. We show that this category has enough injectives by constructing an explicit injective resolution. From this resolution we deduce a long exact sequence relating the Ext groups in these two categories. We also show that under some hypotheses, the Ext groups are isomorphic to cer...

The category Rel(Set) of sets and relations can be described as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lifted to a functor on Rel(Set) iff it preserves weak pullbacks. We show that these results extend to the enriched setting, if we replace sets by posets or preorders. Preservation of weak pullbacks becomes preservation of exact lax squares....

In a recent article Facchini and Finocchiaro considered natural pretorsion theory in the category of preordered sets inducing corresponding stable category. present work we propose an alternative construction $\mathsf{PreOrd} (\mathbb C)$ internal preorders any coherent $\mathbb C$, that enlightens categorical nature this notion. When C$ is pretopos prove quotient functor from to associated pre...

Information held in working memory (WM) can guide attention during visual search. The authors of recent studies have interpreted the effect of holding verbal labels in WM as guidance of visual attention by semantic information. In a series of experiments, we tested how attention is influenced by visual features versus category-level information about complex objects held in WM. Participants eit...

We construct a family of exact functors from the BGG category O of representations of the Lie algebra sln(C) to the category of finite-dimensional representations of the degenerate (or graded) affine Hecke algebra Hl of GLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simple Hl-module can be thus obtained.

We consider a uni ed setting for studying local valuated groups and coset-valuated groups, emphasizing the associated ltrations rather than the values of elements. Stable exact sequences, projectives and injectives are identi ed in the encompassing category, and in the category corresponding to coset-valuated groups.