Year: 1973
Type: article
Abstract: Introduction.Let G be a compact Lie group and (X, A) a topological G-space pair.Let τ be a fixed G-action on (X, A).Then we can define the singular oriented G-bordism group Ω%(X, A; τ) which forms an equivariant generalized homology theory.In this note we let G = S a (a = 1, 3) and Ω% a (X, A) τ), Ω% a (X, A; τ) be S α -semi-free, free bordism groups respectively.Then we can obtain the next theorem by applying the result of F. Uchida [3].THEOREM.The following triangles are exact Ωl\X, A; τ) *-> Ωf{X, A) τ)
Source: Tohoku Mathematical Journal
Author: Hiroaki Koshikawa
Institution: Chiba University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2122816605