Prologue Point-set topology, change functors, and proper actions |
Introduction to Part I |
The point-set topology of parametrized spaces |
Change functors and compatibility relations |
Proper actions, equivariant bundles and fibrations |
Model categories and parametrized spaces |
Introduction to Part II |
Topologically bicomplete model categories |
Well-grounded topological model categories |
The $qf$-model structure on $\mathcal{K}_B$ |
Equivariant $qf$-type model structures |
Ex-fibrations and ex-quasifibrations |
The equivalence between Ho$G\mathcal{K}_B$ and $hG\mathcal{W}_B$ |
Parametrized equivariant stable homotopy theory |
Introduction to Part III |
Enriched categories and $G$-categories |
The category of orthogonal $G$-spectra over $B$ |
Model structures for parametrized $G$-spectra |
Adjunctions and compatibility relations |
Module categories, change of universe, and change of groups |
Parametrized duality theory |
Introduction to Part IV |
Fiberwise duality and transfer maps |
Closed symmetric bicategories |
The closed symmetric bicategory of parametrized spectra |
Costenoble-Waner duality |
Fiberwise Costenoble-Waner duality |
Homology and cohomology, Thom spectra, and addenda |
Introduction to Part V |
Parametrized homology and cohomology theories |
Equivariant parametrized homology and cohomology |
Twisted theories and spectral sequences |
Parametrized FSP's and generalized |
Thom spectra Epilogue: Cellular philosophy and alternative approaches |
Bibliography Index |
Index of notation |
Prologue Point-set topology, change functors, and proper actions |
Introduction to Part I |
The point-set topology of parametrized spaces |
Change functors and compatibility relations |
Proper actions, equivariant bundles and fibrations |
Model categories and parametrized spaces |