Log24

Friday, May 26, 2023

Capilla Abierta : An Exercise in Bulk Apperception

Filed under: General — Tags: , — m759 @ 9:36 am

The previous post suggests a review . . .

'Saddle Chapel' at Cuernavaca

The above remarks on topology  are, of course, about as well-informed
as the remarks of Barry Mazur on locales .

Wednesday, February 8, 2023

Local-Global lnduced Actions

Filed under: General — Tags: , , , — m759 @ 7:08 pm

See "Two Approaches to Local-Global Symmetry"
(this journal, Jan. 19, 2023), which discusses 
local group actions on plane and solid graphic
patterns  that induce global group actions.

See also local and global group actions of a different sort in
the July 11, 1986, note "Inner and Outer Group Actions."

This  post was suggested by some remarks of Barry Mazur,
quoted in the previous post, on " Wittgenstein's 'language game,' "
Grothendieck, global views, local views and "locales."

Further reading on "locales" — Wikipedia, Pointless topology.

The word  "locale" in mathematics was apparently* introduced by Isbell —

ISBELL, JOHN R. “ATOMLESS PARTS OF SPACES.” 
Mathematica Scandinavica, vol. 31, no. 1, 1972, pp. 5–32. 
JSTOR, http://www.jstor.org/stable/24490585. 

* According to page 841 of . . .

Johnstone, P. (2001). "Elements of the History of Locale Theory."
Pp. 835–851 in: Aull, C.E., Lowen, R. (eds) Handbook of the
History of General Topology, Vol 3. Springer, Dordrecht.

Text and Context: The Epiphany Shibboleth

Filed under: General — Tags: , — m759 @ 4:05 pm

The epigraph to Chapter 2 of Category Theory in Context  by Emily Riehl  —

[Maz16] Barry Mazur. Thinking about Grothendieck.
Notices of the AMS, 63(4):404–405, 2016.

The above epigraph in context, in a paper dated
January 6, 2016 (Epiphany) —

Also on Epiphany 2016 —

Wednesday, January 6, 2016

Galois.io

Filed under: General,Geometry — m759 @ 8:35 AM 

The title is a new URL.

Midrash on the URL suffix —

" 'I/O' is a computer term of very long standing
that means 'input/output,' i.e. the means by which
a computer communicates with the outside world.
In a domain name, it's a shibboleth that implies
that the intended audience for a site is other
programmers."

— Phil Darnowsky on Dec. 18, 2014

Remarks for a wider audience —

See some Log24 posts related to Dec. 18, 2014.

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