Midpoint with a connected subset and continuous function
15487
Continuous function from a connected set?
23965
Function which preserves closed-boundedness and path-connectedness continuous?
19566
Continuous images of compact sets are compact
144383
The closure of a connected set in a topological space is connected
84512
The preimage of continuous function on a closed set is closed.
55238
Show that if $f:X\to Y$ is a continuous function if and only if the graph of $f$ is a closed subset of $X\times Y$
126759
Unbounded continuous function on non-compact metric space
149999
fixed point of a continuous map on a projective space
6415
Distance function is continuous in topology induced by the metric
118400
Is there a monotonic function discontinuous over some dense set?
58816
Existence of a continuous function which does not achieve a maximum.
99179
Continuous function with compact domain has continuous inverse
16943
Midpoint-Convex and Continuous Implies Convex
54600
Is a convex and lower semicontinuous function defined on a closed and convex subset of $\mathbb{R}^n$ continuous?
4679
Nonpiecewise Function Defined at a Point but Not Continuous There
142459
Continuity of a Function in Terms of Closure and Interior
151358
Continuous image of a locally connected space which is not locally connected