Every monotone open 2-homogeneous metric continuum is locally connected (Q1866743)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Every monotone open 2-homogeneous metric continuum is locally connected |
scientific article; zbMATH DE number 1898303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Every monotone open 2-homogeneous metric continuum is locally connected |
scientific article; zbMATH DE number 1898303 |
Statements
Every monotone open 2-homogeneous metric continuum is locally connected (English)
0 references
22 April 2003
0 references
Using \textit{K. Whittingtons}'s procedure [Proc. Am. Math. Soc. 126, No. 10, 3131-3132 (1998; Zbl 0902.54026)] the authors generalize a result by Ungar in order to show that every monotone open 2-homogeneous metric continuum is locally connected (in fact, a more general result is proved). At the end, a general result on the pseudo-arc implies that it is open 2-homogeneous.
0 references
metric continua
0 references
homogeneity
0 references
local connectedness
0 references
pseudo-arc
0 references
0.7837648391723633
0 references
0.773556113243103
0 references
0.7660307884216309
0 references
