For A,B subsets of a Normed Vector Space, A closed, B Compact, Show A - B Is Closed
8015
Compact set plus a closed set is a closed set
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
28637
Proving continuous image of compact sets are compact
140103
If product of two sets $A\times B$ is closed, are $A$ and $B$ closed?
110744
How to prove that a compact set in a Hausdorff topological space is closed?
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
42494
The boundary is a closed set
49374
Closure of a subset in a metric space
36631
Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
147914
Closed image of locally compact space
88185
Proof that a subspace $A$ of a complete metric space $X$ is complete iff $A$ is closed
148992
A finite set is closed
119105
If $(X,d)$ is a complete metric space and $A$ is closed then show that for $x \in X$ there exists an element $a_0 \in A$ such that $d(x,A)=d(x,a_0)$
124959
Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?
92774
Prove that a linear subspace of $C([0,1])$ is closed
83054
Let $E$ be a Banach space, prove that the sum of two closed subspaces is closed if one is finite dimensional
26563
Help completing a proof regarding an infinite family of nested closed subsets in a compact metric space