A problem in real valued function on compact set.
12632
Universal Chord Theorem
78763
Prove that $ S=\{0\}\cup\left(\bigcup_{n=0}^{\infty} \{\frac{1}{n}\}\right)$ is a compact set in $\mathbb{R}$.
125233
Why is an open interval not a compact set?
143920
zeroes of non-zero holomorphic function form an atmost countable set
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
146756
Convergence at infinitely many points in a compact set and convergence in the whole region
28637
Proving continuous image of compact sets are compact
154621
A set with a finite integral of measure zero?
136909
Functional Analysis: The rank of an operator detemines if it's a compact operator.
69499
Let $A\subset\mathbb{R}$ a measurable and bounded set. Show that exists for each $0\alpha$.
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
15487
Continuous function from a connected set?
2118
Are continuous functions with compact support bounded?
153798
Problem involving maximum and minimum of a continuous function
154572
Continuity of a function at an isolated point
99675
A closed ball in $l^{\infty}$ is not compact
47188
Uniformly Continuous Function sending Bounded Set to Unbounded One