| Summary: | 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.
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