“By reading this book the reader will certainly be able to gain a comprehensive grasp of all the key concepts and knowledge required for understanding equivariant homology and cohomology theories for compact Lie groups and thereby hopefully be able to consider respective new perspectives on this subject. This book consists of an introduction and three chapters with bibliography and indexes of notations and subjects.” (Haruo Minami, zbMATH 1362.55001, 2017)

• 1 RO(G)-graded Ordinary Homology and Cohomology.- 2 Parametrized Homotopy Theory and Fundamental Groupoids.- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.

“By reading this book the reader will certainly be able to gain a comprehensive grasp of all the key concepts and knowledge required for understanding equivariant homology and cohomology theories for compact Lie groups and thereby hopefully be able to consider respective new perspectives on this subject. This book consists of an introduction and three chapters with bibliography and indexes of notations and subjects.” (Haruo Minami, zbMATH 1362.55001, 2017)

• 1 RO(G)-graded Ordinary Homology and Cohomology.- 2 Parametrized Homotopy Theory and Fundamental Groupoids.- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.

“By reading this book the reader will certainly be able to gain a comprehensive grasp of all the key concepts and knowledge required for understanding equivariant homology and cohomology theories for compact Lie groups and thereby hopefully be able to consider respective new perspectives on this subject. This book consists of an introduction and three chapters with bibliography and indexes of notations and subjects.” (Haruo Minami, zbMATH 1362.55001, 2017)

• 1 RO(G)-graded Ordinary Homology and Cohomology.- 2 Parametrized Homotopy Theory and Fundamental Groupoids.- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.