An equivalence in topological spaces
94396
A topological space is extremally disconnected iff every two disjoint open sets have disjoint closures
76351
Equivalence of continuity definitions
43197
Showing that two definitions of $\limsup$ are equivalent
153573
Counter Example for the union of any number of compact sets is compact in T2-spaces
18039
Let $A$ be a dense subset of $X$ and suppose $A$ is connected in the induced subspace topology, then $X$ is also connected
41690
Products of Continuous functions: Topology
108864
Showing that two topologies give rise to the same topology
128730
Open subspaces of locally compact Hausdorff spaces are locally compact
152679
Homogeneous topological spaces
105358
In a second countable space any base has a countable subset that is still a base
136883
The class of equivalence.
41044
Equivalence of $a \rightarrow b$ and $\lnot a \vee b$
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
70409
Rational Equivalence Relation and Measure
81929
d-metrizable spaces are sequential
144383
The closure of a connected set in a topological space is connected
72190
Topological proof on discrete topology where $X$ is infinite