For small involutive and integral quantaloids Q it is shown that covariant presheaves on symmetric Q-categories are equivalent to certain subalgebras of a speci c monad on the category of symmetric Q-categories. This construction is related to a weakening of the subobject classi er axiom which does not require the classi cation of all subalgebras, but only guarantees that classi able subalgebra...

By using the concept of the weak subordination, we examine the stability a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch c...

We construct a cofibrantly generated Thomason model structure on the category of small n-fold categories and prove that it is Quillen equivalent to the standard model structure on the category of simplicial sets. An n-fold functor is a weak equivalence if and only if the diagonal of its n-fold nerve is a weak equivalence of simplicial sets. We introduce an n-fold Grothendieck construction for m...

In the title compound, C(7)H(16)NO(2) (+)·Cl(-), the asymmetric unit consists of two cation-anion pairs, in which the ion pairs are inter-connected by weak C-H⋯Cl hydrogen bonds. Each cation forms a network of weak C-H⋯Cl hydrogen bonds to surrounding chloride ions. The morpholine ring is in a chair conformation. The crystal structure is consolidated by O-H⋯Cl, C-H⋯Cl and C-H⋯O inter-molecular ...

The asymmetric unit of the title compound, C(16)H(16)N(2)O(6), contains one-half mol-ecule, the mid-point of the central C-C bond being located on a crystallographic inversion center. The crystal structure shows weak inter-actions between the O atoms of the nitro groups and two different C-H groups of the benzene rings. The extended weak hydrogen-bond formation, involving the NO(2) groups, gene...

In the title compound, C(10)H(10)O(2), the 1-indanone unit is essentially planar (r.m.s. deviation = 0.028 Å). In the crystal, molecules are linked via C-H⋯O hydrogen bonds, forming layers lying parallel to the ab plane. This two-dimensional structure is stabilized by a weak C-H⋯π inter-action. A second weak C-H⋯π inter-action links the layers, forming a three-dimensional structure.

The title compound, C(15)H(11)N(3), crystallizes with two independent mol-ecules in the asymmetric unit. The dihedral angles between the phenyl and pyridine rings in each mol-ecule are 53.48 (5) and 50.80 (5)°. In the crystal structure, weak inter-molecular C-H⋯N hydrogen bonds connect mol-ecules into one-dimensional chains. In addition, the crystal structure is stabilized by weak C-H⋯π(arene) ...

The title compound, C(17)H(11)N, crystallizes with two mol-ecules in the asymmetric unit which are linked by a weak C-H⋯N hydrogen bond. The dihedral angles between the benzene ring and the naphthalene ring system in the two mol-ecules are 60.28 (3) and 60.79 (3)°. In the crystal, mol-ecules are linked into a three-dimensional network by weak C-H⋯π inter-actions.

In the title mol-ecule, C(35)H(22)BrNO(2), the four-membered ring of the β-lactam unit is nearly planar [maximum deviation = 0.003 (3) Å] and makes dihedral angles of 87.07 (15), 59.80 (16) and 20.81 (19)°, respectively, with the xanthene system, the anthracene system and the bromo-substituted benzene ring. The mol-ecular conformation is stabilized by weak intra-molecular C-H⋯O and C-H⋯N hydrog...

In the title compound, C(22)H(24)O(3), the non-fused benzene ring makes a dihedral angle of 52.56 (7)° with the benzene ring of the chromanone unit. The mol-ecular structure is stabilized by a weak intra-molecular C-H⋯O inter-action and the crystal packing is stabilized by weak inter-molecular C-H⋯O inter-actions. The isopropyl group is disordered over two positions, with site occupancies of 0....