examples of nowhere dense sets

Note that is nowhere dense in under the usual topology: int¯=int=. Similarly, 1n is nowhere dense for every n with n>0.

This result provides an alternative way to prove that is meager in under the usual topology, since =n and n>01n.

Title examples of nowhere dense sets
Canonical name ExamplesOfNowhereDenseSets
Date of creation 2013-03-22 17:07:05
Last modified on 2013-03-22 17:07:05
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 4
Author Wkbj79 (1863)
Entry type Example
Classification msc 54A99
Related topic ExampleOfAMeagerSet