About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 82. Chapters: Fundamental group, Covering space, Homotopy groups of spheres, Hopf fibration, Fiber bundle, Seifert-van Kampen theorem, CW complex, Cotangent complex, Highly structured ring spectrum, Rational homotopy theory, Bott periodicity theorem, Simplicial set, Line bundle, Model category, Classifying space for U(n), Monodromy, Path, Hurewicz theorem, Eilenberg-MacLane space, J-homomorphism, Generalized Poincare conjecture, 2-group, Hopf invariant, Kan fibration, Dennis Sullivan, Compactly generated space, A homotopy theory, Brown's representability theorem, Segal conjecture, Section, Universal bundle, Homotopy category, Adams spectral sequence, Aspherical space, Semi-locally simply connected, Smash product, Pointed space, Weak equivalence, Toda bracket, Homotopy lifting property, Stable module category, Suspension, Contractible space, Stable homotopy theory, Novikov conjecture, Semi-s-cobordism, Whitehead product, EHP spectral sequence, Whitehead theorem, Iterated monodromy group, Plus construction, Homotopy extension property, Freudenthal suspension theorem, Obstruction theory, Equivariant cohomology, Andre-Quillen cohomology, H-space, Acyclic space, Puppe sequence, Cohomotopy group, Simplex category, Quillen adjunction, Localization of a topological space, Postnikov system, Homotopy fiber, Stunted projective space, Loop space, May spectral sequence, Adams filtration, Direct limit of groups, Timelike homotopy, Spanier-Whitehead duality, Cofibration, N-group, Sullivan conjecture, Homotopy sphere, Timelike simply connected, Andreotti-Frankel theorem, Fibrant object, Chromatic spectral sequence, Sphere spectrum, Simple-homotopy equivalence, Topological half-exact functor. Excerpt: In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each ot...
