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[Oct. 11th, 2005|10:30 am] |
Из письма великого математика Гротендика, отца не менее восьми детей, отцу четырех дочерей Д.Квиллену, филдсовскому лауреату:
( Maybe even a wind of disrepute for any foundational matters whatever is blowing nowadays ! [...][W]hat seems to me even more striking than the lack of proper foundations for homological and homotopical algebra, is the absence I daresay of proper foundations for topology itself ! [The development of foundations for topology] would have on the everyday technique of geometric topology ([in contrast] to the topology of use for analysts) a comparable impact or even a greater one, than the introduction of the point of view of schemes had on algebraic geometry. The psychological drawback here I believe is not anything like messyness, as for homological and homotopical algebra (or for schemes), but merely the inrooted inertia which prevents us so stubbornly from looking innocently, with fresh eyes, upon things, without being dulled and emprisoned by standing habits of thought, going with a familiar context - *too* familiar a context ! )
The motivations for this letter was the latter topic, however. ...
( Посмотрим же на экспоненциальное отображение---на его точную последовательность<br> 0-->Z-->C-->C*-->0. )
Надо подумать еще, конечно. Но думать сложно, а обобщать просто.... |
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