دانلود کتاب Operads and chain rules for the calculus of functors

فهرست مطالب :

Introduction
Chapter 1. Basics
1.1. Categories of spaces and spectra
1.2. Taylor tower and derivatives of functors of simplicial sets and spectra
1.3. Basic results on Taylor towers of composite functors
1.4. The category of functors
1.5. Subcomplexes of presented cell functors
1.6. Pro-spectra
Chapter 2. Operads and modules
2.1. Composition products, operads and bar constructions
2.2. Homotopy invariance of the bar construction
2.3. Cofibrant replacements and model structures for operads and modules
2.4. Derived mapping objects for modules
2.5. Pro-symmetric sequences and Spanier-Whitehead Duality
Chapter 3. Functors of spectra
3.1. Models for Goodwillie derivatives of functors of spectra
3.2. Composition maps for Goodwillie derivatives
3.3. Chain rule for functors from spectra to spectra
3.4. Operad structures for comonads
Chapter 4. Functors of spaces
4.1. The cobar construction
4.2. Functors from spaces to spectra
4.3. Functors from spectra to spaces
4.4. Functors from spaces to spaces
4.5. A Koszul duality result for operads of spectra
4.6. Chain rules for functors of spaces and spectra
Appendix
Appendix A. Categories of operads, modules and bimodules
Bibliography