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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.