Why are topologies that give different limits nonequivalent?
158706
How convergence relates to equivalence of norms
60383
What is the intuition for the point-set topology definition of continuity?
86167
Why are infinite cardinals limit ordinals?
132528
Are metrics that determine the same topology, equivalent?
134637
Exchanging of limits in case of uniform convergence.
21938
describing all possible topologies on a set
82354
$ KC $ spaces imply $ US $ spaces , but vise versa is false.
47602
Convergence of Sets? (Topology on a Powerset of a Set?)
109091
Why do non-constant periodic functions have no limit at infinity?
78941
proof that an alternative definition of limit is equivalent to the usual one
22989
A doubt on the definition of limit of a function definition
88205
How can I define a topology on the empty set?
114437
Why is this the basis for the indiscrete topology?
114856
Universal property of initial topology
153935
A weaker Axiom of Infinity?
59275
If $X$ is an infinite set, then $X$ with the discrete topology is not compact
95897
Which sets occur as boundaries of other sets in topological spaces?