Exercise of topological spaces
72190
Topological proof on discrete topology where $X$ is infinite
147793
A variation on the induced topology (subspace topology)
80860
How to call a space in which every G$_\kappa$-set is open
66180
Homomorphism between compact Hausdorff spaces.
128730
Open subspaces of locally compact Hausdorff spaces are locally compact
51871
Characterization of Topology
148403
Compact space and Hausdorff space
130361
Basis for a topology with a countable number of sets
147961
Characterizing simply connected spaces
79213
Proof about a Topological space being arc connect
81471
Finite dimensional spaces
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
39076
Contraction of compact sets
71916
Quasi-components and components coincide for compact Hausdorff spaces
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
127900
Interior of closure of open set in topological space
11383
Disjoint compact sets in a Hausdorff space can be separated