![SOLVED: Prove that the finite union of closed sets is closed. 10. Show that arbitrary intersection of open sets may not be open. 11, Let X be a topological space and Ac SOLVED: Prove that the finite union of closed sets is closed. 10. Show that arbitrary intersection of open sets may not be open. 11, Let X be a topological space and Ac](https://cdn.numerade.com/ask_images/d076eaf161794e60923c3351975d200c.jpg)
SOLVED: Prove that the finite union of closed sets is closed. 10. Show that arbitrary intersection of open sets may not be open. 11, Let X be a topological space and Ac
![general topology - Prove that a closed set contains all its limit points - Mathematics Stack Exchange general topology - Prove that a closed set contains all its limit points - Mathematics Stack Exchange](https://i.stack.imgur.com/rTcn1.jpg)
general topology - Prove that a closed set contains all its limit points - Mathematics Stack Exchange
![Topological space. Topology. Open and closed sets. Neighborhood. Interior, exterior, limit, boundary, isolated point. Dense, nowhere dense set. Topological space. Topology. Open and closed sets. Neighborhood. Interior, exterior, limit, boundary, isolated point. Dense, nowhere dense set.](https://solitaryroad.com/c779/ole.gif)