On Equivariant Bordism Groups

• Main Author: 李惠明
• Other Authors: 吳青木
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/01440063427022701514

碩士 === 淡江大學 === 數學研究所 === 62 === 　　Let G be a compact Lie group, F>F'be families of subgroups of G, and (X,A;τ) be a topological pair with a given G-action τon (X,A). Let M be an oriented compact G-manifold with boundary. One may define (F,F')-free bordism elements of (X,A;τ) and then define equivariant bordism groups θG*(F,F') and the natural homomorphism □*may define an equivariant generalized homology theory in the sence of Bredon [2]. 　　We discuss the restriction and extension homorphism, and obtain some properties such as: If eHG is an extension and π*is the projection homomorphism induced by the projective mapping π:G -> G/H=□ where H is a normal subgroup, then π*eHG=0; we have π*j=identity.