Does the scheme-theoretic definition of a manifold include Hausdorffness and second-countability?
65919
Sanity check about Wikipedia definition of differentiable manifold as a locally ringed space
63098
Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
120685
Topology induced from Kuratowski Closure properties
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?
78225
Countable additivity implies countable subadditivity?
3708
How can I prove that compact subset iff sequentially compact in second countable topological spaces?
10215
Differentiable manifolds as locally ringed spaces
66180
Homomorphism between compact Hausdorff spaces.
66770
Intuition for Smooth Manifolds
143043
When is a local homeomorphism a covering map?
99755
Non-orientable 1-dimensional (non-hausdorff) manifold
93389
Uncountable sets of Hausdorff dimension zero
81423
Completeness and Topological Equivalence
114856
Universal property of initial topology
72875
"Naturally occurring" non-Hausdorff spaces?
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
96781
connected manifolds are path connected