3 problems

Let $(X,\operatorname{\star})$ be a shelf, with distributive homology groups $H_n(X)$. A spindle is a shelf satisfying the additional spindle condition, and let…

Let $(X,\operatorname{\star})$ be a spindle, and let $\widetilde H^{N}_n(X)$ denote its normalized homology, with rank denoted by $\operatorname{rk}$. Normalized Rank Growth Conjec…

Let $(X,\star)$ be a commutative spindle, meaning a set equipped with a self-distributive binary operation satisfying the spindle axioms. For $x,t\in X$, write…