descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2006Publisher:Michigan State University PressJournal:Real Analysis Exchange, volume 31, page 365 (issn: 0147-1937,

Authors: Czarnowska, Joanna;

doi: 10.14321/realanalexch.31.2.0365

Perfect Roads for Multivalued Maps

- Summary
- Subjects
- Metrics

Abstract

The main purpose of the paper is to extend Maximoff's theorem for real functions to the multivalued maps case. Theorem (Maximoff [5]) Let $f : \mathbb{R}\to\mathbb{R}$ be a first Baire class function. Then $f$ has the Darboux property if and only if $f$ has a perfect road at each point.

Related Organizations

Keywords

Darboux property, perfect road, 54C60

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green