# Tagged Questions

**1**

vote

**1**answer

325 views

### Does there exist a countable partition of [0,1] by disjoint closed subsets? [duplicate]

Possible Duplicate:
Why are the integers with the cofinite topology not path-connected?
As in the title, is it possible to find closed, disjoint subsets $C_n$ of $[0,1]$ such that $[0,1] = ...

**5**

votes

**2**answers

627 views

### Cantor Sets Inside Cantor Sets

(Or: "I heard you liked Cantor Sets...")
I'm working on a student project, and the following construction came up very naturally: If $C$ is the usual Cantor Set, build a countable union of copies of ...

**4**

votes

**0**answers

443 views

### continuous selection of a multivalued function?

The title is probably a bit too broad. I frequently encountered the following situation: suppose I need to select a solution to a linear equation from a compact set. Can I make this selection ...