RB Yadav

3 Questions 17 Answers 0 Followers

Questions related from RB Yadav

Let f :R^n --> R^m be smooth with df_x\ne 0. What can we say about the function E_f:R^n --> R, where E_f(x)= least +ve eigen value of (df_x)*(df_x) ?

Here smooth means infinitely differentiable. Clearly (df_x)*(df_x) has all its eigen values nonnegative and has atleast one +ve eigen value. Can we say that E_f is smooth or continuous. If...

18 December 2018 6,716 15 View

Is there some possible decomposition for homomorphisms between finitely generated abelian groups?

Is there some decomposition theorem for chain complexes in terms of simpler complexes?

03 May 2017 9,841 2 View

What are the interesting classes of continuous functions from 2-sphere S^2 to itself?

One of the interesting classes is class of quotients of complex polynomials. Is this class dense in C(S^2, S^2) in compact open topology?

16 May 2015 2,331 21 View