Let N be endowed with the discrete topology and Y = (0} u nEN-(0,1}} be a subspaoe of R. The topology on Y is the induced topology by the Euclidean topology on R. We define the function f:N-(0}Y by f(1) 0 and f(n) 1. f is a one to one function. a. True b. False 2. f is onto. a. True b. False 3. f is continuous. a. True b False 4. (0} is open in Y. a. True b. False 5. is cot inuous. True

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.