A topologicalSpanier mentions that locally contractible implies homologically locally connected but I'm wondering whether contractible implies homologically locally connected?
Definition of homologically locally connected: "A space X$X$ is said to be homologically locally connected (based on definition in EH Spanier's "Algebraic Topology")dimension $n$ if for every $x \in X$ and neighbourhoodneighborhood $U$ of $x$ there exists a neighbourhoodneighborhood $V$ of $x$, in $V \subset U$$U$ such that $U$ and$\tilde{H}_q(V) \to \tilde{H}_q(U)$ is trivial for $V$ are homotopy equivalent$q \leq n$. Spanier mentions that locally contractible implies It is said to be homologically locally connected but I'm wondering whether contractible impliesif it is homologically locally connected? in dimension $n$ for all $n$."