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eldrago

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJan 21st 2021

Is this some clever spam?

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 21st 2021

It reminds me of how one should think of the use of “persistent Cohomotopy” in topological data analysis (here):

Thinking of the given function from the data set to the coefficient $n$-sphere as the given observable on the data - which might be something like pressure or temperature, etc., or the tuple that all these form - then the cobordism class measured by persistent Cohomotopy via the Pontryagin isomorphism is that of the isobar or isotherm, etc, in the dataset, corresponding to the fixed regular value at which we decide to take the preimage in the sense of Pontryagin’s prescription.

The authors behind the above link never seem to say it explicitly this way, but that’s really their proposal: To use cobordism classes of isobars/isotherms/… in topological data analysis.

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeJan 21st 2021

noun 1. METEOROLOGY a line on a map connecting points having the same atmospheric pressure at a given time or on average over a given period. 2. CHEMISTRY each of two or more isotopes of different elements, with the same atomic weight.

Isobars are atoms (nuclides) of different chemical elements that have the same number of nucleons. Correspondingly, isobars differ in atomic number (or number of protons) but have the same mass number. An example of a series of isobars would be 40S, 40Cl, 40Ar, 40K, and 40Ca. While the nuclei of these nuclides all contain 40 nucleons, they contain varying numbers of protons and neutrons.[1]

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJan 21st 2021

I mean the link that I gave in #3, to references on “persistent Cohomotopy”: here.

My comment was on potentially interesting content for a page on isobars.

• CommentRowNumber6.
• CommentAuthorDavid_Corfield
• CommentTimeJan 21st 2021

Ah, I see. I look forward to a cohomotopical rendition.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeJan 21st 2021

For the time being I have cleared the page and then added a one-line Idea-section and a pointer to Wikipedia.