The topologies on X defined by d and d' respectively are the same
105437
How can I show these two metrics give the same topology?
140168
What are the basis for co-countable and co-finite topologies
147793
A variation on the induced topology (subspace topology)
18828
Base and empty set of a topology
114370
I want to figure out how many Topologies are in the set X
109374
Is the Discrete Topology on $X$ the Only One Containing All Infinite Subsets of $X$?
62911
Let $(X,\tau)$ be a connected topological space, $Y\subset X$ connected and $U\subset X\setminus Y$ clopen. Prove that $ Y \cup U$ is connected
77175
Proof that two spaces that are homotopic have the same de Rham cohomology
66548
proving topological equivalence
148112
Prove that a topological space equipped with a delta-complex structure is Hausdorff
93623
Showing that every connected open set in a locally path connected space is path connected
108226
Are these bases for a topology?
81423
Completeness and Topological Equivalence
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
48557
Product of connected spaces
82458
Homeomorphism between the unit disc and the unit square
150011
Proof completeness of $(X,d)$ given $d$ is French railway metric