同調(diào)

In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL-LINC. A further development of homo...

In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL-LINC. A further development of homological ideas, with a view to their topological applications, came in my long collaboration with SAMUEL EILENBERG; to both collaborators, especial thanks. For many years the Air Force Office of Scientific Research supported my research projects on various subjects now summarized here; it is a pleasure to acknowledge their lively understanding of basic science. ...

Saunders Mac Lane(1909-2005)已故世界著名數(shù)學(xué)家。生前曾任美國數(shù)學(xué)會(huì)(MAA)主席，美國數(shù)學(xué)協(xié)會(huì)(AMS)主席，美國科學(xué)院副院長、院士。麥克萊恩的貢獻(xiàn)主要在代數(shù)和代數(shù)拓?fù)浞矫妫峭{(diào)代數(shù)和范疇論的先驅(qū)者之一，因在代數(shù)及代數(shù)拓?fù)浞矫娴呢暙I(xiàn)獲1986年美國數(shù)學(xué)會(huì)斯蒂爾獎(jiǎng)。1989年曾獲美國科學(xué)界最高榮譽(yù)國家科學(xué)獎(jiǎng)。