New posts in Differential Topology

What's the intuition behind the Co-Area formula?

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

Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$?

Does an injective map stay injective under small smooth perturbations?

$4$-manifold with fundamental group $\Bbb Z/4\Bbb Z$

What are the known examples of closed, connected and simply connected manifolds of positive Euler characteristic?

Loch Ness monster and Jacob's Ladder Surfaces are NOT homeomorphic

How to convince myself (imagine) that $\Bbb S^1$-action on $\Bbb S^3$ fixes a circle of sphere?

On the equivalence of several definitions of the torus

Relation/Difference between moduli spaces and classifying spaces.