New posts in General Topology

No continuous injective functions from $\mathbb{R}^2$ to $\mathbb{R}$

Are there non-homogeneous topological spaces which are "almost homogeneous" in Rudin's sense?

Condition to union of connected sets be connected

If $f_{n}$ has a dense image, then $\bigcap (f_{1}\circ\cdots\circ f_{n})(X_{n})$ is dense

Trouble with the proof of Proposition 4.3.18 of Pedersen's Analysis Now

If $X$ is homeomorphic to dense subspace $Y\subseteq X$, then $X=Y$

An extension of Baire's category theorem

Homeomorphic metric spaces where the identity map is not a homeomorphism

Every continuous map $f:\mathbb{C}P(2) \to \mathbb{C}P(2)$ has a fixed point, without Lefschetz theorem.

Metrizable Topological Space In Many Ways