File:The Knaster "bucket-handle" continuum.svg
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Captions
Captions
A Knaster continuum is meant as a homeomorphic continuum to the inverse limit \varprojlim(I_n,f_n)$ of a sequence of unit intervals I_n=I$ with open, non-homeomorphic bonding maps f_n$. Denote by \mathcal K$ the class of all Knaster continua.
Summary
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| Description |
English: This is an image of the well-known "bucket-handle" continuum.
This is one of the simplest and best-known examples of an *indecomposable* continuum; that is, a continuum that cannot be written as the union of two proper subcontinua. The continuum is arc-like and arises in dynamics as the closure of the unstable manifod of the horseshoe map. |
| Date | |
| Source | Own work |
| Author | L Rempe-Gillen |
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:54, 6 November 2012 | | 4,474 × 3,016 (9 KB) | L rempe (talk | contribs) | User created page with UploadWizard |
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