Titlebook: Continuous Selections of Multivalued Mappings; Dušan Repovš,Pavel Vladimirovič Semenov Book 1998 Springer Science+Business Media Dordrecht

彩色

https://doi.org/10.1007/978-94-017-1162-3Dimension; Grad; Homeomorphism; functional analysis; manifold; topology

军械库

门窗的侧柱

Mathematics and Its Applicationshttp://image.papertrans.cn/c/image/237017.jpg

许可

Elke Franz,Anja Jerichow,Andreas PfitzmannIn this section all multivalued mappings are assumed to have convex values in some Banach space. We begin with the union of Theorems (1.1) and (1.5) [258, Theorem (3.2)”].

中和

放大

https://doi.org/10.1007/978-3-322-87092-6Pełczyński [330] introduced the notion of Milyutin space and Dugundji space. Ščepin [370] proposed the notions of Milyutin mapping and Dugundji embedding and defined a . (.) . as a compactum which admits a Milyutin mapping (respectively, Dugundji embedding) from a power {0, 1}. onto . (respectively, from . into a power [0, 1].).

Perineum

吞没

Regular Mappings and Locally Trivial FibrationsLet f: . → . be a continuous surjection and . a topological space. Then . is said to be a . with a ., if for each . ∈ ., there exists a neighborhood . = .(.) and a homeomorphism . such that . where . is the projection onto the first factor.

seduce

Soft MappingsPełczyński [330] introduced the notion of Milyutin space and Dugundji space. Ščepin [370] proposed the notions of Milyutin mapping and Dugundji embedding and defined a . (.) . as a compactum which admits a Milyutin mapping (respectively, Dugundji embedding) from a power {0, 1}. onto . (respectively, from . into a power [0, 1].).

浓缩

Zero-Dimensional Selection Theoremof of Convex-valued theorem, but without any partitions of unity. As in the previous paragraph we begin (see Section 1) by the necessity conditions for solvability of the selection problem for an arbitrary closed-valued mapping. Our proof of Theorem (2.4) follows the original one [257]. The converse theorem (2.1) is a well-known folklore result.