Topology Answer of number 4 with justification Let N be endowed with the discrete topology and Y = {0}U nEN- (0,1%3Dbe a subspace ofR. The topology on Y is the induced topology by the Euclidean topology on R. We define the functionf:N-(0}Y by f(1)=0 and f(n) =Vn > 1.1. f is a one to one function.a. Trueb. False2. f is onto.a. Trueb. False3. f is continuous.a. Trueb. False4. (0} is open in Y.a. Trueb. False5. f is continuous.a. Trueb. False6. f is a homeomorphism.a. Trueh. Falsea

Name: Topology Answer of number 4 with justification Let N be endowed with t
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: Topology Answer of number 4 with justification Let N be endowed with the discrete topology and Y = {0}U nEN- (0,1%3Dbe a subspace ofR. The topology on Y is the induced topology by the Euclidean topology on R. We define the functionf:N-(0}Y by f(1)=0