Section 19 Munkres Topology, $\mathbb{R}^\infty$ vs $\mathbb{R}^\omega$
34918
Difference between $R^\infty$ and $R^\omega$
22464
Which of the following subsets of   $\mathbb{R}^2$ are compact
116768
Problem 5, sec. 13 in Munkres' Topology, 2nd ed.: How to prove the assertion if $\mathscr{A}$ is a subbasis?
72190
Topological proof on discrete topology where $X$ is infinite
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
146445
What Topology does a Straight Line in the Plane Inherit as a Subspace of $\mathbb{R_l} \times \mathbb{R}$ and of $\mathbb{R_l} \times \mathbb{R_l}$
77289
Example 2, Sec. 24, in Munkres' TOPOLOGY, 2nd ed: If $X$ is a well ordered set, then $X \times [0, 1)$ is a linear continuum
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
116542
Which of the following sets are compact in $\mathbb{M}_n(\mathbb{R})$[NBHM_PhD Screening Test-2013, Topology]
133820
The product topology on $\mathbb R_d\times \mathbb R$ vs. the dictionary order topology on $\mathbb R\times \mathbb R$
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
56143
Proof of a basic $AC_\omega$ equivalence
66239
Verifying that a certain collection of intervals of $\mathbb R$ forms a topology
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
123470
Why are box topology and product topology different on infinite products of topological spaces?
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?