Neighborhood Topology and Open Set Topology: their Equivalence and Comparison
51871
Characterization of Topology
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
137621
The Number of Topologies on a Finite Set
151358
Continuous image of a locally connected space which is not locally connected
148213
Given a topological space $X$, why are both $X$ and $\emptyset$ open and closed?
108864
Showing that two topologies give rise to the same topology
21740
Reference for general-topology
114856
Universal property of initial topology
42913
Equivalence of the definition of the Subbasis of a Topology
126192
Connected, locally connected, path-connected but not locally path-connected subspace of the plane
24050
Characterization of the Closure of a Set
100437
Classification of connected subsets of the real line (up to homeomorphism)
133820
The product topology on $\mathbb R_d\times \mathbb R$ vs. the dictionary order topology on $\mathbb R\times \mathbb R$
152976
Real Analysis: open and closed sets
77563
Homeomorphism between spaces equipped with cofinite topologies
145937
Differential topology versus differential geometry
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?