Ah, thanks!! I had forgotten about the existence of that entry. These are useful quotes for what I am after, yes. Thanks.

]]>Re #2: We already have an article on this exact aspect: https://ncatlab.org/nlab/show/homotopy+theory+FAQ#intro. It has quite a few quotations from well-known sources.

]]>When explaining the role of homotopy theory in physics, a recurring stumbling block is that the physicist says “topological” for phenomena that the mathematician would call *homotopical* (the mathematician in their right mind, that is, ignoring here misnomers like “THH” and its cousins…): such as in “topological field theory” or “topological quantum computation”.

**Vague reference question:**

Is there a good reference which would be illuminating to point the interested outsider to on this terminology issue and maybe highlighting the joint etymology of “*topo*logy” and “homo*topy*”.

For instance, the article listed in the entry *Analysis Situs* starts out explaining topology to such an interested outsider, but at some point just starts using the word “homotopy” instead, without warning, explanation or comment.

a `category:reference`

-entry