Is there a topological space whose fundamental group is the real numbers?
116759
is the group of rational numbers the fundamental group of some space?
117366
Is there a simple, constructive, 1-1 mapping between the reals and the irrationals?
70049
Irreducible topological spaces and irreducible Hausdorff space
57468
Continuous homorphisms between topological groups.
115851
Why is this quotient space not Hausdorff?
81873
Is $(X,\mathcal T)$ necessarily an indiscrete space?
65180
A compact Hausdorff space that is not metrizable
70262
Can the axiom of choice be used to define the real numbers?
118323
What is the topological dual of a dual space with the weak* topology?
59385
Are there number systems corresponding to higher cardinalities than the real numbers?
112910
Is the set of real numbers really uncountably infinite?
111360
Topological spaces in which every proper closed subset is compact
31561
Is there a Smooth Real Manifold which is not a Riemannian Manifold?
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
139827
On which topological spaces, can we give a group structure to make it a topological group?
20383
True or False: there is a space $X$ such that $S^1$ is homeomorphic to $X\times X$
30519
"Real" cardinality, say, $\aleph_\pi$?