List questions from complete-spaces | MathQa

Contractive composite function

Published on 12 Jan 2025 - 23:27

Prove that the group of homeomorphisms with the given metric is a complete metric space

Published on 12 Jan 2025 - 10:06

Embedding of Sobolev space $W_2^1[a,b]$ in $C[a,b]$

Published on 12 Jan 2025 - 10:06

Does a bi-Lipschitz map from a space to itself extend continuously to its completion?

Published on 12 Jan 2025 - 10:06

Do I Understand Closed Versus Complete in Metric, Normed and Inner Product Spaces?

Published on 12 Jan 2025 - 10:06

The completion of a separable inner product space is a separable Hilbert space

Published on 12 Jan 2025 - 10:06

$X$ be a metric space such that for any two disjoint closed subsets $A,B$ ; $d(A,B)>0$ , then $X$ is complete?

Published on 12 Jan 2025 - 10:06

extending an isometry to the completion

Published on 12 Jan 2025 - 10:06

Is every closure of a metric space a completion?

Published on 12 Jan 2025 - 10:06

Set of all differentiable functions on $(0,1)$ not complete

Published on 12 Jan 2025 - 10:06