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Infinite loop space theory
 Bull. Arner. Math. Soc
"... Introduction. The notion of a generalized cohomology theory plays a central role in algebraic topology. Each such additive theory E * can be represented by a spectrum E. Here E consists of based spaces £, for /> 0 such that Ei is homeomorphic to the loop space tiEi+l of based maps ..."
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Cited by 32 (13 self)
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Introduction. The notion of a generalized cohomology theory plays a central role in algebraic topology. Each such additive theory E * can be represented by a spectrum E. Here E consists of based spaces £, for /> 0 such that Ei is homeomorphic to the loop space tiEi+l of based maps
Generalized AndréQuillen cohomology
 J. Homotopy Relat. Struct
"... Abstract. We explain how the approach of André and Quillen to defining cohomology and homology as suitable derived functors extends to generalized (co)homology theories, and how this identification may be used to study the relationship between them. ..."
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Cited by 4 (1 self)
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Abstract. We explain how the approach of André and Quillen to defining cohomology and homology as suitable derived functors extends to generalized (co)homology theories, and how this identification may be used to study the relationship between them.
The BarrattPriddyQuillen Theorem
, 2009
"... The purpose of this note is to present a modern proof of the well known BarrattPriddyQuillen Theorem, which theorem asserts that the space QS0 = Ω∞Σ∞S0 is weakly equivalent to the space⊔ ..."
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The purpose of this note is to present a modern proof of the well known BarrattPriddyQuillen Theorem, which theorem asserts that the space QS0 = Ω∞Σ∞S0 is weakly equivalent to the space⊔