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Limit properties of induced mappings

✍ Scribed by Janusz J. Charatonik; Wl̵odzimierz J. Charatonik

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 127 KB
Volume: 100
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00096-0

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✦ Synopsis

Given a class M of mappings f between continua, near-M stands for the class of uniform limits of sequences of mappings from M. Let 2 f and C(f ) mean the induced mappings between hyperspaces. Relations are studied between the conditions: f ∈ near-M, 2 f ∈ near-M and C(f ) ∈ near-M. A special attention is paid to the classes M of open and of monotone mappings.

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