A question related to discrete and subspace topology
33309
Subgroup of $\mathbb{R}$ either dense or has a least positive element?
88595
Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
142014
study of subspace generated by $f_k(x)=f(x+k)$ with f continuous, bounded..
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?
80180
Discrete and compact subset must be finite
67191
When is the union of a family of subspaces of a vector space also a subspace?
51871
Characterization of Topology
105996
Topology of matrices
48557
Product of connected spaces
18828
Base and empty set of a topology
140168
What are the basis for co-countable and co-finite topologies
151051
connectedness of uniform topology
41347
The dimension of the intersection of two vector subspaces
28500
What are the components and path components of $\mathbb{R}^{\omega}$ in the product, uniform, and box topologies?
120345
Topology induced by seminorms and initial topology
72190
Topological proof on discrete topology where $X$ is infinite
135814
Prove certain subsets of $\mathbb R^n$ are subspaces