Skip to main content
1 of 3
Ali Taghavi
  • 356
  • 8
  • 31
  • 123

No analytic surjection $f:M \to N$ when $dim(M) >dim(N)$

Inspired by comment discussions in this MO post smooth version of splitting principle we ask:

Are there two compact real analytic manifolds $M,N$ of dimension $m>n$ such that there is no any analytic surjection $f:M \to N$?

Ali Taghavi
  • 356
  • 8
  • 31
  • 123