Why do we define topology like this?
41339
Why do we require a topological space to be closed under finite intersection?
147793
A variation on the induced topology (subspace topology)
145981
Introductory book on Topology
123430
Can a topological manifold be non-connected and each component with different dimension?
99353
Topology on cartesian product and product topology.
88823
How can the empty set be open in the definition of the cofinite topology?
91956
Intuition of the meaning of homology groups
105996
Topology of matrices
130361
Basis for a topology with a countable number of sets
114856
Universal property of initial topology
18828
Base and empty set of a topology
16667
How to get intuition in topology concerning the definitions?
45805
(A question regarding:) the graph associated with an open cover of a topological space.
69204
When I prove two topologies are same, is it sufficient to prove they have same basis? If so,Why?
60383
What is the intuition for the point-set topology definition of continuity?
95897
Which sets occur as boundaries of other sets in topological spaces?
106298
Prove that some topology is not metrizable