File:Refinement on a circle.png

From formulasearchengine
Jump to navigation Jump to search

Refinement_on_a_circle.png(600 × 400 pixels, file size: 26 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: Above: Cover (four colourful sets) of a circular line (black).
Date 30 October 2010 (original upload date)
Source Own work
Author User:Sigmundur

Below: Refinement of the cover so that no point on the line is contained in more than 2 sets.

Purpose: To illustrate the role of covers in the definition of topological dimension, figure 1 of 2.

Note: In both pictures, the parts of the black set that belong to several sets are drawn with a thicker line.

Licensing

Public domain This work has been released into the public domain by its author, Sigmundur. This applies worldwide.

In some countries this may not be legally possible; if so:
Sigmundur grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

Transferred from en.wikipedia to Commons using For the Common Good.

The original description page was here. All following user names refer to en.wikipedia.
Date/Time Dimensions User Comment
21:10, 30 October 2010 400 × 600 (24,492 bytes) w:en:Sigmundur (talk | contribs) (Above: Cover (four colourful sets) of a circular line (black). Below: Refinement of the cover so that no point on the line is contained in more than 2 sets. Purpose: To illustrate the role of covers in the definition of topological dimension, figure 1 of )

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:00, 12 March 2016Thumbnail for version as of 23:00, 12 March 2016600 × 400 (26 KB)wikimediacommons>SteinsplitterBotBot: Image rotated by 90°

There are no pages that use this file.