On some questions concerning determinants

On some questions concerning strong compactness

A question of Woodin asks if κ is strongly compact and GCH holds below κ, then must GCH hold everywhere? One variant of this question asks if κ is strongly compact and GCH fails at every regular cardinal δ < κ, then must GCH fail at some regular cardinal δ ≥ κ? Another variant asks if it is possible for GCH to fail at every limit cardinal less than or equal to a strongly compact cardinal κ. We ...

Some Questions concerning Alternative Rings

Some Questions concerning Minimal Structures

An infinite first-order structure is minimal if its each definable subset is either finite or co-finite. We formulate three questions concerning order properties of minimal structures which are motivated by Pillay’s Conjecture (stating that a countable first-order structure must have infinitely many countable, pairwise non-isomorphic elementary extensions). In this article a connection between ...

Some (Wh-) Questions Concerning Passive Interactions

English-speaking children are known to be delayed in their comprehension of passive sentences (Slobin, 1966; Turner & Rommetveit, 1967; Bever, 1970; Maratsos & Ambramovitch, 1975; Maratsos, Fox, Becker, & Chalkley, 1985; Gordon & Chafetz, 1990; Fox & Grodzinsky, 1998; Hirsch & Wexler, 2004a). Additionally, it has been noted that children’s level of passive comprehension is in part determined by...

Some open questions concerning biological growth

Carlos Escudero ICMAT (CSIC-UAM-UC3M-UCM), Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain Abstract We briefly review the properties of radially growing interfaces and their connection to biological growth. We focus on simplified models which result from the abstraction of only considering domain growth ...