New posts in product-space

Compact topological space not having Countable Basis?

In general, why is the product topology not equal to the box topology

Munkres topology Exercise $2.22$ Question $1$

Product of two compact spaces is compact

Product of totally disconnected space is totally disconnected?

Confusion regarding the proof steps of the topology generated by a subbasis

Show that $X=\prod X_\alpha$ is path connected if and only if each $X_\alpha$ is path connected

Show this metric generates the product topology on $X$

Homeomorphism between Space and Product: $X \cong X \times X$

Meaning of "the weakest topology such that <blank> is continuous"

Different ways to state the motivation of the definition of the product topology

A sequence with no converging subsequence that clusters everywhere

Why isn't the product $\sigma$-algebra defined as the pre-image $\sigma$-algebra of the canonical projections

Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent

$X$ is homeomorphic to $X\times X$ (TIFR GS $2014$)

Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal

Homeomorphism between topological space and product space

Can a space $X$ be homeomorphic to its twofold product with itself, $X \times X$?

An arbitrary product of connected spaces is connected

Constraining a dense sequence on a product space, one factor at a time