[x] 25 We can show that using triangulations we can concretely represent the base spaces ...
[x] 29 Provides better (strike the 'could') ... and points
[x] 171 spelling simplicial
[x] 184 keys as pure references with topology (no coordinate, data, or metrics directly associated to tham)
[x] 2.4 The contributions are eg. technical "topology preserving maps" for what? Each of these should have a why. Formally describes topology preserving relationship between data and graphic via continuous maps
and do the same for the others
-[x] Bottom of page 10 befoer 1 from a data object, to a graphic object
-[x] and at the very bottom: given an ACTION of M on data and an ACtion M' on ..
symmetric is wrong
[x] 321/3.1.4 ... "The section" makes it sound like there is one. \pi the projection literally ties to gether the base space and the Fiber not a section. A section encodes a choice of a particular element of the fiber for each base space point. That means that if our base space is the sent of keys, then the section is a particular record of values for each key. In other words on instance of data.
You say this later but don't make the \tau seem unique and structural. \pi is structural, \tau is not.
[x] 344 pure data-less references, like hashvalues, virtual memory locations or random numbers.
[x] 3.2.2 watch lack of spaces between symbols and the following word!
[x] Can we say it is useful to think of S as mapped to the 2D region of the display that represents K
You say it at the end of page 21 but earlier might be nice. What is S? people start thinking ... try to give them
something as quick as possible.
[x] 412 Jet bundle J^2(E) includes J^0(E) and J^1(E). The 2 jet bundle is NOT the bundle of second derivitives but is the bundle of second, first and 0 derivatives.
[x] equation (26) not \nu(2) [type error] but \phi(2)
[x] equation 28???
[x] eqation 29 ... again use \phi(c)
[x] for equation 30 again use \phi(c)
[x] Above eq. (31) use the term "path connected" rather than just connected
[x] Above eq. (33) elements of the mondoid m \in M [ not monoids ... there is only one we are defining]
[x] We definine the monoid action on X so that it is by definition equivariant
[x] 492 .... you may have to explain what you mean by Curried
[x] 497 restructure the existing pipeline for libraries that delegate the construction of \rho to a back end such as matplotlib
against commit a9999e7 pdf
-[x] Bottom of page 10 befoer 1 from a data object, to a graphic object -[x] and at the very bottom: given an ACTION of M on data and an ACtion M' on .. symmetric is wrong