Open maping theorem. Completeness assumption are important
43626
Open Mapping Theorem: counterexample
32910
Completion and algebraic closure commutable
44623
Closed set as a countable intersection of open sets
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
24478
What is the name of this theorem, and are there any caveats?
156850
Fix-Point Theorem Proof.
142840
Open axioms of equality
146812
Explicit construction for unitary extensions of completely positive and trace preserving (CPTP) maps?
35804
Bi-Lipschitz map preserves completeness
60008
Can we always view loops as maps from $S^1\to X$?
65472
From injective map to continuous map
107160
Open Set and Measure Theory
38033
A surjective linear map into a finite dimensional space is open
78344
Nonconstant linear functional on a topological vector space is an open mapping
83360
The completion of a separable inner product space is a separable Hilbert space
158909
Importance of the homogeneity assumption in definition of linear map
127631
On a conformal mapping