If T And T' be two Topology on a same set X and T is strictly finer than T' then "there exit no homeomorphism between them",is a correct statement?
103170
Produce two distinct topologies of R such that the first is strictly finer than the second but the two are homeomorphic to each other.
59531
Do $T$-invariant subspaces necessarily have a $T$-invariant complement?
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
62793
$\mathbb{R}$ with the lower limit topology is not second-countable
112306
Two manifolds $X$ and $Y$ with two bijective continuous functions from $X$ to $Y$ and $Y$ to $X$, but not homeomorphic
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
101986
Prob. 2, Sec. 20 in Munkres' TOPOLOGY, 2nd ed: The dictionary order topology on $\mathbb{R} \times \mathbb{R}$ is metrizable.
152465
Find the intersection of all $T_2$ topologies on an infinite set $X$
58285
Is it true that if $X$ is connected, then for every nonempty proper subset $A$ of $X$, we have $\mathbf{Bd} \ne \emptyset$
146261
Difference between topology and sigma-algebra axioms.
3896
A closed set in $(A, \mathcal T_A)$ that is not closed in $(X, \mathcal T)$
144383
The closure of a connected set in a topological space is connected
57468
Continuous homorphisms between topological groups.
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
78513
Show finite complement topology is, in fact, a topology
118323
What is the topological dual of a dual space with the weak* topology?