3 problems

Weak geometric version of the Curtis and Eccles conjectures. (i) The image of the first homomorphism is finite. (ii) For a path connected space $X$, the image of the second homomor…

Let $X$ be a path connected $CW$-complex with finitely generated homology. For $n>0$, let $f\in\pi_n^sX\simeq\pi_nQX$, and let … be the unstable Hurewicz homomorphism. Eccles conje…

Let $QS^0$ denote the basepoint component of the stable homotopy space of spheres, and let $f\in\pi_{>0}QS^0$ be a stable map of positive degree. The Curtis–Madsen conjecture. The…