“Dold–Thom theorem”的意思、由来-开放百科全书

词条

Dold–Thom theorem

释义

References
External links

In algebraic topology, the Dold–Thom theorem, proved by {{harvs|txt|first=Albrecht|last=Dold|author1-link=Albrecht Dold|first2=René|last2=Thom|author2-link=René Thom|year1=1956|year2=1958}}, states that the homotopy group π_i(SP(X)) of the infinite symmetric product SP(X) of a connected CW complex X is the i-th singular reduced homology group of X, usually denoted by .^[1]

References

{{Citation | last1=Dold | first1=Albrecht | last2=Thom | first2=René | title=Une généralisation de la notion d'espace fibré. Application aux produits symétriques infinis | mr=0077121 | year=1956 | journal=Les Comptes rendus de l'Académie des sciences | volume=242 | pages=1680–1682}}
{{Citation | last1=Dold | first1=Albrecht | last2=Thom | first2=René | title=Quasifaserungen und unendliche symmetrische Produkte | jstor=1970005 | mr=0097062 | year=1958 | journal=Annals of Mathematics |series=Second Series | issn=0003-486X | volume=67 | pages=239–281 | doi=10.2307/1970005}}

Specific

1. ^{{Cite web|url=https://ncatlab.org/nlab/show/Dold-Thom+theorem|title=Dold-Thom theorem in nLab|website=ncatlab.org|access-date=2017-08-23}}

External links

http://mathoverflow.net/questions/37647/the-dold-thom-theorem-for-infinity-categories

1 : Theorems in algebraic topology

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