Smoothness of every fibre in a parameterized family does not force their dimensions or tangent spaces to vary continuously with the parameter. A dimension jump can produce convergent tangent vectors whose limit is not tangent to the limiting fibre.

Ancestors (5)

  1. Differential geometry
  2. Geometry and topology
  3. Area of mathematics
  4. Mathematics
  5. Home

Incoming links (1)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version