Construct a topological manifold which its open cover is locally finite but not globally
62766
Topological Manifolds & Covers
84419
Product of manifolds & orientability
16649
Topological space with countable open cover $\{U_\alpha\} $ with each $U_\alpha$ second-countable, is second countable
128334
Question regarding open covers in Zariski topology (distinguished opens of affine schemes are quasi-compact)
29653
Show that $xy=0$ is a variety but not a manifold
32923
Homotopy equivalence of universal cover
36015
Almost complex manifolds are orientable
77563
Homeomorphism between spaces equipped with cofinite topologies
90092
Showing that $\bar{\mathbb{B}}^n$ is a manifold with boundary (Lee ITM Probelm 3-4)
17607
Open maps which are not continuous
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
144548
topological structure on smooth manifolds
132571
Local homeomorphisms which are not covering map?
86993
Differentiable injective function betweem manifolds
127900
Interior of closure of open set in topological space
47251
Non-compactness of $\mathbb{R}$ with the cocountable topology
146789
A locally constant sheaf on a locally connected space is a covering space; Proof?