Equivalence relation on topological space such that each equivalence class and the quotient space is connected
89264
Connectedness in the Quotient Space
77563
Homeomorphism between spaces equipped with cofinite topologies
42811
Product of path connected spaces is path connected
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
143140
When are quotients of homeomorphic spaces homeomorphic?
117877
Are homotopy equivalent path-connected spaces homotopy equivalent as pointed spaces?
39455
Prove that $(X\times Y)\setminus (A\times B)$ is connected
147961
Characterizing simply connected spaces
151161
norms on vector space are equivalent iff they have same topology
35362
Number of equivalence relations on a set
137896
Isomorphism equivalence implies fundamental group is abelian
122506
Relation on countable sets
39010
Metrization of the cofinite topology
57468
Continuous homorphisms between topological groups.
136883
The class of equivalence.
69043
The equivalence relation generated by a relation
156606
Universal covering spaces of homotopy equivalent spaces are homotopy equivalent