In the work of Hoshino, Kato andMiyachi, [11], the authors look at t-structures induced by a compact object, C, of a triangulated category, T , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on T whose heart is equivalent to Mod(End(C)). Rigid objects in a triangulated category can the thought of as ...

We study surface and line operators in the GL-twisted N = 4 gauge theory in four dimensions. Their properties depend on the parameter t which determines the BRST operator of theory. For t = i we propose a complete description of the 2-category of surface operators in terms of module categories. We also determine the monoidal category of line operators which includes Wilson lines as special obje...

We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued p...

The development of the Teaching and Education (T&E) category articles in Journal Applied Crystallography, leading to recent appointment Louise Dawe as an additional T&E Editor, is described. ongoing Editor Juan Manuel García-Ruiz outline their vision for category.

We give the description of the t-structure on the derived category of regular holonomic D-modules corresponding to the trivial tstructure on the derived category of constructible sheaves via Riemann– Hilbert correspondence. We give also the condition for a decreasing sequence of families of supports to give a t-structure on the derived category of coherent O-modules. 2000 Math. Subj. Class. Pri...