Compactness of unit ball in Holder space
113696
Showing that the unit ball in $(C^\alpha[a, b], \|\cdot\|_\alpha)$ is compact in $(C[a, b], \|\cdot\|_\infty)$
75137
proving that $f(x) = x^s$ is holder continuous with holder exponent s
98609
Does pointwise equicontinuous and uniformly equicontinuous implies compactness?
72468
Open and closed balls in $C[a,b]$
158814
Two definitions of locally compact space
59697
Is the boundary of the unit sphere in every normed vector space compact?
147331
Compactness and Hausdorffness
127173
Closed subset of compact set is compact
84921
Fitting an infinite collection of balls in an infinite dimensional unit ball
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
6785
Equicontinuity on a compact metric space turns pointwise to uniform convergence
19566
Continuous images of compact sets are compact
27517
Isometry in compact metric spaces
144353
A closed ball in a metric space is closed
124959
Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?
36700
Quotient space of closed unit ball and the unit 2-sphere $S^2$
148403
Compact space and Hausdorff space