Re: Remove a critical point and what happens

Posted by Mike2 on June 19, 2003 at 09:37:18:

In Reply to: Re: Remove a critical point and what happens posted by DickT on June 18, 2003 at 13:59:37:

So, in order to specify some region around the removed critical point, it would have to represent a boundary to a closed manifold?

In other words, to write an equation for something that avoids the critical point, the equation (for a line, surface, volume, etc.) becomes a manifold in and of itself?

Can a manifold include a critical point?

Thanks.

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Follow Ups: (Reload page to see most recent)

• Re: Remove a critical point and what happens -- DickT 6/19/03 (9)
  • Re: Remove a critical point and what happens -- Mike2 6/19/03 (1)
    • Re: Remove a critical point and what happens -- DickT 6/20/03 (0)
  • Re: Remove a critical point and what happens -- Mike2 6/19/03 (6)
    • Re: Remove a critical point and what happens -- Haelfix 6/20/03 (2)
      • Re: Remove a critical point and what happens -- Mike2 6/20/03 (1)
        • Re: Remove a critical point and what happens -- Haelfix 6/22/03 (0)
    • Re: Remove a critical point and what happens -- DickT 6/20/03 (2)
      • Re: Remove a critical point and what happens -- Mike2 6/21/03 (0)
      • Re: Remove a critical point and what happens -- Mike2 6/20/03 (0)

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