Showing that an isometry of a compact space $X$ into itself is surjective
74657
Can this intuition give a proof that an isometry $f:X \to X$ is surjective for compact metric space $X$?
72251
$g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
84437
Prove that the projection $p_i$ from the product space $X_I S_i \tau$ into $S_i \tau_i$ is open for each $i \in I$
148403
Compact space and Hausdorff space
147914
Closed image of locally compact space
84004
Prove there is no contraction mapping from compact metric space onto itself
106178
Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals.
158078
Is linear surjective isometry always unitary?
46748
If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
123061
$X$ metric separable then $C(X)$ separable
134492
Proving that a Hölder space is a Banach space
26687
Show that $f$ maps the unit circle to itself
51914
Show that $S$ is compact.
104757
If $f \circ g$ is surjective, then f is surjective
21391
Proving Functions are Surjective
119247
Let $(M,d)$ be a compact metric space and $f:M \to M$ such that $d(f(x),f(y)) \ge d(x,y) , \forall x,y \in M$ , then $f$ is isometry?
127491
Isometric isomorphism between $R^2$ and $R$