منابع مشابه
Katětov ’ S Problem
In 1948 Miroslav Katětov showed that if the cube X3 of a compact space X satisfies the separation axiom T5 then X must be metrizable. He asked whether X3 can be replaced by X2 in this metrization result. In this note we prove the consistency of this implication.
متن کاملHereditarily Normal Katětov Spaces and Extending of Usco Mappings
Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
متن کاملCopower functors
We give a common generalization of two earlier constructions in [2], that yielded coalgebraic type functors for weighted, resp. fuzzy transition systems. Transition labels for these systems were drawn from a commutative monoid M or a complete semilattice L, with the transition structure interacting with the algebraic structure on the labels. Here, we show that those earlier signature functors a...
متن کاملModular Functors
We prove in this paper that the genus zero data of a modular functor determines the modular functor. We do this by establishing that the S-matrix in genus onewith one point labeled arbitrarily can be expressed in terms of the genus zero information and we give an explicit formula. We do not assume the modular functor in question has duality or is unitary, in order to establish this. CONTENTS
متن کاملWebster’s Functors
We start with a warm-up: we explain Nakajima’s construction of the geometric sl2-action on ⊕ v Hmid(T ∗Gr(v, w)). 1.1. Warm-up: Nakajima’s geometric action. The lagrangian subvariety φ−1(0) ⊂ M(v) is easily seen to be the zero section Gr(v, w) ⊂ T ∗Gr(v, w). Indeed, consider the action of C× on M(v) induced from the C×-action on T ∗R by fiberwise dilations. Under the identification ofM(v) with ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2016
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-016-9461-z