New posts in product-space

Is the Product of a Compact Space and a Countably Compact Space Countably Compact?

How do I prove that a filter converges in a cartesian product?

The Cantor set is homeomorphic to infinite product of $\{0,1\}$ with itself - cylinder basis - and it topology

Infinite product of measurable spaces

What are the components and path components of $\mathbb{R}^{\omega}$ in the product, uniform, and box topologies?

Cartesian product of compact sets is compact

Why are box topology and product topology different on infinite products of topological spaces?

On the product of $\mathfrak c$-many separable spaces

Product of connected spaces

When is the product of two quotient maps a quotient map?

Is the box topology good for anything?

Projection is an open map

Compact subsets of the space of real functions $\mathbb{R}^\mathbb{R}$

Projection map being a closed map

Show that the countable product of metric spaces is metrizable

$X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed