It is shown that a) it is possible to define the topology of any topological algebra by a collection of F -seminorms, b) every complete locally uniformly absorbent (complete locally A-pseudoconvex) Hausdorff algebra is topologically isomorphic to a projective limit of metrizable locally uniformly absorbent algebras (respectively, A-(k-normed) algebras, where k ∈ (0, 1] varies, c) every complete...

Identification of string junction states of pure SU(2) Seiberg-Witten theory as B-branes wrapped on a Calabi-Yau manifold in the geometric engineering limit is discussed. The wrapped branes are known to correspond to objects in the bounded derived category of coherent sheaves on the projective line P1 in this limit. We identify the pronged strings with triangles in the underlying triangulated c...

We establish the notion of a ``projective analytic vector'', whose defining requirements are weaker than usual ones an vector, and use it to prove generation theorems for one-parameter groups on locally convex spaces. More specifically, we give characterization generators strongly continuous which arise as result projective limit procedure, in existence dense set vectors plays central role. An ...

in this paper $s$ is a monoid with a left zero and $a_s$ (or $a$) is a unitary right $s$-act. it is shown that a monoid $s$ is right perfect (semiperfect) if and only if every (finitely generated) strongly flat right $s$-act is quasi-projective. also it is shown that if every right $s$-act has a unique zero element, then the existence of a quasi-projective cover for each right act implies that ...

This study addresses the empirical question of whether families high in communication deviance (CD) assessed from parental projective test data show direct interaction patterns similar to those found in families with offspring diagnosed as schizophrenic. Three parameters of interactive functioning were examined— focus of communication, role structure, and nonverbal affective attitude. The data ...

in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively

Maps to projective spaces correspond to linear series. To better study linear series on smooth curves, Eisenbud and Harris developed their theory of limit linear series for reducible curves of “compact type.” We discuss a new equivalent description of classical Eisenbud-Harris limit linear series which generalizes to the higher-rank case, agreeing with the earlier construction of Teixidor i Big...

Fix integers r, k, g with r > k > 0 and g ≥ 2. Let X be an integral projective curve with g := pa(X) and E a rank r torsion free sheaf on X which is a flat limit of a family of locally free sheaves on X. Here we prove the existence of a rank k subsheaf A of E such that r(deg(A)) ≥ k(deg(E)) − k(r − k)g. We show that for every g ≥ 9 there is an integral projective curve X,X not Gorenstein, and a...

In this paper, I investigate the form-meaning mapping problem in child language acquisition (Clark, 1993, p.43) for a class of meanings (implications) called projective content and the words or constructions associated with them commonly referred to as triggers (Tonhauser et al., 2013). Since triggers are conventionally associated with projective content, I ask how children successfully limit t...