Čech extensions and localization of homotopy functors
Cellular covers of cotorsion-free modules
In this paper we improve recent results dealing with cellular covers of R-modules. Cellular covers (sometimes called colocalizations) come up in the context of homotopical localization of topological spaces. They are related to idempotent cotriples, idempotent comonads or coreflectors in category theory. Recall that a homomorphism of R-modules π: G → H is called a cellular cover over H if π induces an isomorphism , where π⁎(φ) = πφ for each (where maps are acting on the left). On the one hand,...
Clones of spaces and maps in homotopy theory.
Cochains and homotopy type
Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E∞ algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E∞ algebras is faithful but not full.
Colocalizations and their realizations as spectra.
Completed representation ring spectra of nilpotent groups.
Completions of Z-Tate cohomology of periodic spectra.
Continuous Morava K-Theory and the Geometry of the In-Adic Tower.
Correction to "The Boolean algebra of spectra", Vol. 54 (1979), pp. 368-377.
Cosimplicial resolutions and homotopy spectral sequences in model categories.