The Space of Loops on a Homogeneous Space and Rational Equivalence | Zendy

Iriye Kouyemon | Zendy

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The Space of Loops on a Homogeneous Space and Rational Equivalence

Author(s) -

Iriye Kouyemon

Publication year - 1999

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609399005895

Subject(s) - mathematics , equivalence (formal languages) , homogeneous , mathematics subject classification , space (punctuation) , pure mathematics , construct (python library) , algebra over a field , combinatorics , computer science , programming language , operating system

We shall construct a mapΩ 0 ( G / H ) → ∏ αS 2 n a − 1× ∏ β Ω S 2 n β − 1which is a rational equivalence with applications to phantom maps, spaces of the same n ‐type and genus sets. This answers in the affirmative a question of C. McGibbon. 1991 Mathematics Subject Classification 55Q05.

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