Dear George, Although I have yet to read the Saunders MacLane's notes on "Geometrical Mechanics" for a course given in Chicago in 1968 in some more detail, just perusing them seems to me that the notes in question are based on several sources which are explicitly mentioned in them and that are well known in the subject matter. I doubt therefore that Saunders himself may have thought of them as original in any way. Doubtless they must have been useful to his students as well as to himself, for instance when writing Chapter VIII (Forms of Space) and Chapter IX (Mechanics) of his very nice book "Mathematics Form and Function", Springer-Verlag, 1968. I am still not sure myself whether to write "Mac Lane" or "MacLane", and I certainly did not know the story behind his opting for the latter. I am sure that these notes will be useful to anybody not familiar with the material exposed on them, and that we should certainly thank Harry Dole for his having provided us with them. Sincerely, Marta ************************************************ Marta Bunge Professor Emerita Dept of Mathematics and Statistics McGill University Montreal, QC, Canada H3A 2K6 bunge@math.mcgill.ca ************************************************ ________________________________ From: George Janelidze <George.Janelidze@uct.ac.za> Sent: October 25, 2017 6:23 PM To: Harry Dole; categories@mta.ca Subject: categories: Re: Kinetic Energy Is A Riemann Metric On Configuration Space Dear Mr. Dole, I am one of many who is (or will be) very grateful to you for these beautiful notes. I have never seen them before. Do you know how accurate they are? Had Mac Lane seen them? While making a copy of them I read on your webpage: "...Below are the lecture notes dating back to 1968. Interestingly, there’s no space in “MacLane”... As a comment to that here is what Mac Lane says in his book "A Mathematical Autobiography" (Page 6): "...The space in Mac Lane was added years later by me, when my first wife, Dorothy, found it difficult to type our name without a space". Best regards, George Janelidze [For admin and other information see: http://www.mta.ca/~cat-dist/ ]