Product topology versus compact-open
46788
Compact open topology on space of continuous maps from a discrete space is a product
7069
On the product of $\mathfrak c$-many separable spaces
41047
Subspace Topology of a subset
28637
Proving continuous image of compact sets are compact
84419
Product of manifolds & orientability
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
19566
Continuous images of compact sets are compact
147350
Homeomorphism between $\prod X_i$ and the Cantor set
107160
Open Set and Measure Theory
13468
When does open and connected imply path-connected?
27661
The closed graph theorem in topology
84104
Definition of neighborhood and open set in topology
158221
Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
50026
Product of compact and closed in topological group is closed
151051
connectedness of uniform topology
41690
Products of Continuous functions: Topology
27998
Prove existence of disjoint open sets containing disjoint closed sets in a topology induced by a metric.