Graph of a continuous function is a smooth manifold?
66770
Intuition for Smooth Manifolds
154881
Question on differentiability of a continuous function
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
153256
Compact topological space with closed graph implies continuity
143951
Can we determine uniform continuity from graphs?
46608
For any smooth manifold, is it true that for any two points on the manifold, there exists a chart that covers the two points?
62950
Use implicit function theorem to show $O(n)$ is a manifold
61628
Does every smooth local frame of the tangent bundle correspond to a chart?
100187
Show function is continuous at origin
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 $X\times Y$
53812
Metric is continuous function
155060
Confusion about definition of manifold with boundary
20688
Discontinuous functions with closed graphs
65346
Characterisation of uniformly continuous function
9793
Why is the image of a smooth embedding $f: N \to M$ an embedded submanifold?
46834
show that a distance function is continuous
147247
Continuous function on closed unit ball