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Definition of Smooth map

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Archived series ("Inactive feed" status)

When? This feed was archived on December 09, 2017 16:01 (6+ y ago). Last successful fetch was on October 29, 2017 08:04 (6+ y ago)

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Manage episode 184622226 series 1521141
Content provided by Random Stuffs. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Random Stuffs or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
A map between manifolds is smooth if it is smooth in coordinates. For a map from N to R^m, only need to look at coordinate patch on N. For a map N to M, if use coordinate on M, get a map N to Rm. Smoothness of N to Rm can be checked componentwise. For map N to M, use a chart on M to check smoothness componentwise.
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172 episodes

Artwork
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Archived series ("Inactive feed" status)

When? This feed was archived on December 09, 2017 16:01 (6+ y ago). Last successful fetch was on October 29, 2017 08:04 (6+ y ago)

Why? Inactive feed status. Our servers were unable to retrieve a valid podcast feed for a sustained period.

What now? You might be able to find a more up-to-date version using the search function. This series will no longer be checked for updates. If you believe this to be in error, please check if the publisher's feed link below is valid and contact support to request the feed be restored or if you have any other concerns about this.

Manage episode 184622226 series 1521141
Content provided by Random Stuffs. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Random Stuffs or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
A map between manifolds is smooth if it is smooth in coordinates. For a map from N to R^m, only need to look at coordinate patch on N. For a map N to M, if use coordinate on M, get a map N to Rm. Smoothness of N to Rm can be checked componentwise. For map N to M, use a chart on M to check smoothness componentwise.
  continue reading

172 episodes

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