Metric space and continuity proof.
64260
Prove that a function between metric spaces is continuous iff the inverse image of a closed set is closed
140124
The distance function on a metric space
36566
Equivalence classes and metric spaces
52014
Showing $(C[0,1], d_1)$ is not a complete metric space
128897
Bounded sequence in a metric space
28637
Proving continuous image of compact sets are compact
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
129243
Is $C_{c}^{\infty}[a,b]$ a complete metric space?
99816
Existence of Topologically Transitive Maps on nice Metric Spaces
124179
Proof that every metric space is normal
144353
A closed ball in a metric space is closed
98553
Infinite metric space has open set $U$ which is infinite and its complement is infinite
6785
Equicontinuity on a compact metric space turns pointwise to uniform convergence
3751
Proving a distance between molecules defines a metric space.
135315
Proving whether a function on the set of real sequences is a metric
141366
Absolutely continuity and Lipschitz-like continuity
97914
Contractive mapping on compact space