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Daniele Tampieri
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As stated by Tim Porter in his answer, it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization"algebrization" of) Fredholm theoryFredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable in the widest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), MR88665, Zbl 0073.10101.

As stated by Tim Porter in his answer, it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable in the widest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), MR88665, Zbl 0073.10101.

As stated by Tim Porter in his answer, it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the "algebrization" of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable in the widest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), MR88665, Zbl 0073.10101.

Added a link to Tim's answer + added a link to the MR review
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Daniele Tampieri
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As stated by Tim Porter in [his answer]his answer, it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable toin the largestwidest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), MR88665, Zbl 0073.10101.

As stated by Tim Porter in [his answer], it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable to the largest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), Zbl 0073.10101.

As stated by Tim Porter in his answer, it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable in the widest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), MR88665, Zbl 0073.10101.

Source Link
Daniele Tampieri
  • 6.4k
  • 7
  • 30
  • 45

As stated by Tim Porter in [his answer], it all depends on what's the meaning you assign to the word 'concrete'.

Said that, possibly one of the most concrete (up to the limit of being applied and applicable) works of Alexander Grothendieck is, in my personal opinion, his work on (the algebrization of) Fredholm theory. His approach, described in the work [1] (and others references cited therein) seems inspired to an approach to abstraction I wrote about also in other posts on this and on the Math.SE sister site: according to this approach, "abstract" means "applicable to the largest possible context", thus in turn deeply concrete.

Reference

[1] Alexander Grothendieck, "La théorie de Fredholm", (French) Bull. Soc. Math. Fr. 84, 319-384 (1956), Zbl 0073.10101.