Onto function on a compact metric space
62479
A isometric map in metric space is surjective?
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
157753
Show that any set in a metric space can be written as the intersection of open sets
56156
Composition and Onto Functions
125580
Proving that every countable metric space is disconnected?
36237
Closed set mapped to itself in a compact Hausdorff space
135315
Proving whether a function on the set of real sequences is a metric
133152
(X,d) be a compact metric space. For every open cover, show there exists ε > 0 such that ∀𝑥 ∈ X, B(x,ε) is contained in some member of the cover.
85658
Number of onto functions
69528
Metrizability of quotient spaces of metric spaces
144353
A closed ball in a metric space is closed
90628
The metric spaces are Tychonoff spaces
14509
Contraction Map on Compact Normed Space has a Fixed Point
28804
No. of possible dense subsets of a metric space
143484
A separable locally compact metric space is compact iff all of its homeomorphic metric spaces are bounded
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
28637
Proving continuous image of compact sets are compact