New posts in Homotopy Theory

Free Product of Groups with Presentations

Homotopy classes of maps from projective plane to projective plane

For $X$ contractible, deformation retract of $CX$ onto $X$.

Gap between "fibration" and "fiber bundle".

Fiber bundle with null-homotopic fiber inclusion

Is $\mathbb{R}^n$ properly homotopy equivalent to $\mathbb{R}^m$ if $n \neq m$?

Meaning of n-connected pairs

cup product in cohomology ring of a suspension

Homotopical perspective on the long exact sequence in homology and Mayer-Vietoris

If $f:S^1\to S^1$ doesn't have any fixed point then it is homotopic to the identity