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(X,T) is topological space. If A = {1,3,4}, B = {2,3} then find A, B°, ext (A), ext(B), b (A), b(B)
σ(u, v) = (f(u) cos v, f(u) sin v, g(u)), where f, g are smooth real-valued functions
with f > 0.
the given surfaces:
(a) The circle γ(t) = (cost, sin t, 1) on the paraboloid σ(u, v) = (u, v, u^2 + v^2).
(b) The right circular helix γ(θ) = (a cos θ, a sin θ, bθ) on the right circular cylinder
σ(u, v) = (a cos u, a sin u, v), where a, b > 0 are constants.
Weingarten matrix of the following surface patches of the unit sphere:
(a) σ(θ, φ) = (cos θ cos φ, cos θ sin φ,sin θ).
(b) σ(u, v) = (sech u cos v, sech u sin v, tanh u).
A set S is cardinally majorizable by a set T iff there exists a(n) ______________ from T to S.
It is not injection. Bijection from T to S? Maybe so that there will be injection from S to T.
Q/Let T be the class of subsets of N consisting of empty set and all subscts of the form Gn ={n,n +1,n+ 2,..} with n € N. Show that T is topology on N.
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#340153 on Dec 2023