![Dense and nowhere dense set with examples | Topology | Z is nowhere dense in R and Q is dense in R. - YouTube Dense and nowhere dense set with examples | Topology | Z is nowhere dense in R and Q is dense in R. - YouTube](https://i.ytimg.com/vi/oA4faCGo3h0/hqdefault.jpg)
Dense and nowhere dense set with examples | Topology | Z is nowhere dense in R and Q is dense in R. - YouTube
![Let X be a metric space. A subset M of X is said to be Rare(Nowhere Dense) in X if its closure M has no interior points, Meager(of First Category) - Let X be a metric space. A subset M of X is said to be Rare(Nowhere Dense) in X if its closure M has no interior points, Meager(of First Category) -](https://images.slideplayer.com/32/9927640/slides/slide_3.jpg)
Let X be a metric space. A subset M of X is said to be Rare(Nowhere Dense) in X if its closure M has no interior points, Meager(of First Category) -
![Some nowhere dense sets with positive measure and a strictly monotonic continuous function with a dense set of points with zero derivative Some nowhere dense sets with positive measure and a strictly monotonic continuous function with a dense set of points with zero derivative](http://www.se16.info/hgb/nowhere1.gif)
Some nowhere dense sets with positive measure and a strictly monotonic continuous function with a dense set of points with zero derivative
![SOLVED: Definition: A subset B of a space X is said to be nowhere dense in X when B contains no nonempty open subset of X, that is, when int(B) = ∅. SOLVED: Definition: A subset B of a space X is said to be nowhere dense in X when B contains no nonempty open subset of X, that is, when int(B) = ∅.](https://cdn.numerade.com/ask_images/3db00b3ea67f409c86efeabc223ed69f.jpg)
SOLVED: Definition: A subset B of a space X is said to be nowhere dense in X when B contains no nonempty open subset of X, that is, when int(B) = ∅.
![SOLVED: As usual, we assume all spaces are topological Hausdorff spaces. Definition: Suppose that X is a topological space. The subset M of X is nowhere dense in X if, for every SOLVED: As usual, we assume all spaces are topological Hausdorff spaces. Definition: Suppose that X is a topological space. The subset M of X is nowhere dense in X if, for every](https://cdn.numerade.com/ask_images/88574ee3dd41449088187029fa193a8a.jpg)