File:Refinement on a planar shape.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 378 × 737 pixels, file size: 9 KB)

Captions

Captions

illustration of covers in topological dimension

Summary

[edit]
Description
English: Below left: Refinement of the cover so that no point in the shape is contained in more than 3 sets.

Below right: An attempt to refine the cover so that no point in the shape would be contained in more than 2 sets. Notice how some set border intersection points cannot be covered.

Purpose: To illustrate the role of covers in the definition of topological dimension
Date
Source Own work
Author Ian Remsen

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

File history

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

Date/TimeThumbnailDimensionsUserComment
current04:50, 8 February 2023Thumbnail for version as of 04:50, 8 February 2023378 × 737 (9 KB)Remsense (talk | contribs)Uploaded own work with UploadWizard

You cannot overwrite this file.

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Refinement_on_a_planar_shape.svg&oldid=787124990"