Niles Messages 1,834 Reaction score 0 Thread starter Dec 12, 2009 #1 Homework Statement Hi If I have a function defined in one point only given by e.g. f(x) = 2, then is the function f defined on a open "interval" or a closed "interval"?
Homework Statement Hi If I have a function defined in one point only given by e.g. f(x) = 2, then is the function f defined on a open "interval" or a closed "interval"?
CompuChip Science Advisor Homework Helper Messages 4,305 Reaction score 49 Dec 12, 2009 #2 Simple answer: a single point is a closed interval. Complicated answer: it depends on the topology you put on R.
Simple answer: a single point is a closed interval. Complicated answer: it depends on the topology you put on R.