true or false topology
75888
How to prove the function $y = \sin x$ is not a closed function?
77563
Homeomorphism between spaces equipped with cofinite topologies
145981
Introductory book on Topology
105303
'Obvious' theorems that are actually false
69204
When I prove two topologies are same, is it sufficient to prove they have same basis? If so,Why?
62766
Topological Manifolds & Covers
88595
Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
79236
Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)
119312
Product and Box Topologies
18828
Base and empty set of a topology
92340
How many metrics are there on a set up to topological equivalence?
105437
How can I show these two metrics give the same topology?
39010
Metrization of the cofinite topology
80524
Path-connected and locally connected space that is not locally path-connected
43626
Open Mapping Theorem: counterexample
28766
Intuition behind topological spaces
137075
If a topology contains all infinite subsets, then it is the discrete topology