[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ12 (1002ﾚｽ)
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284: 現代数学の系譜 雑談 ◆yH25M02vWFhP 01/15(水)14:46 ID:ZCTGHyhi(1/11) AAS
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>Choice principles in elementary topology and analysis Horst Herrlich
Horst Herrlichは、下記か
大物ですな （＾＾
(参考)
en.wikipedia.org/wiki/Horst_Herrlich
Horst Herrlich (11 September 1937, in Berlin – 13 March 2015, in Bremen) was a German mathematician, known as a pioneer of categorical topology.
Education and career
From 1971 to 2002 Herrlich was a professor of mathematics with a focus on general topology and category theory at the University of Bremen.
He was an Invited Speaker of the International Congress of Mathematicians in 1974 in Vancouver.[4]
He is regarded as a founder of categorical topology, which deals with general topology using the methods of category theory.
books.google.co.jp/books?id=_0cDCAAAQBAJ&redir_esc=y
Axiom of Choice
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Horst Herrlich
Springer, 2006/07/21 - 198 ページ
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that:
- Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC).
- Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games).
- Some beautiful mathematical theorems hold only if AC is replaced by some alternative axiom, contradicting AC (e.g., by AD, the axiom of determinateness).
Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
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