Given dominant morphism between irreducible varieties, prove that image of a proper closed subset is not dense.
115088
Surjective morphism of affine varieties and dimension
70264
Prove that the inverse image of an open set is open
6523
Prove that the space has a countable dense subset
158018
Everywhere Super Dense Subset of $\mathbb{R}$
27735
Morphism to Projective Space $\mathbb{P}^m$
73336
If $A$ is a nowhere dense subset of a topological space $X$, then $X\setminus A$ is dense in $X$.
132382
Showing a set is nowhere dense in $C([0,1])$
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
47680
Prove that the union of the interior of a set and the boundary of the set is the closure of the set
122463
How to show the that a set $A$ nowhere dense is equivalent to the complement of $A$ containing a dense open set?
154324
preservation of completeness under homeomorphism
111689
Surjective, but not injective endomorphism
142577
Algebraic proof that a set generated by irrational rotations is dense in $S^1$.
111338
Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
145726
For a subfield $K$ of $\Bbb C$ with $K\nsubseteq \Bbb R$, show $K$ is dense in $\Bbb C$.
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$