The goal of this note is to present some of the relationship between some “old-fashioned ” constructions in homological algebra and the re-cent finite localization functors of Mahowald-Sadofsky, Ravenel, Miller, et al ([7], [14], [9].) The main result verifies a conjecture of Mahowald and Sadofsky (for finite spectra,) yielding a somewhat geometric inter-pretation of the so-called “vn-periodic Ext-groups. ” It is a pleasure t
Introduction. In this note, we construct algebraic versions of the Adams Spectral Sequence. The appr...
Mahowald’s conjecture arose as part of a program attempting to view chromatic phenomena in stable ho...
In classical homotopy theory, the Periodicity theorem by Devinatz-Hopkins-Smith gives a complete ans...
Abstract. We construct the Bouseld-Kan (unstable Adams) spectral sequence based on certain non-conne...
This paper arose from attempting to understand Bouseld localization func-tors in stable homotopy the...
The Telescope Conjecture (made public in a lecture at Northwestern Uni-versity in 1977) says that th...
AbstractRecently, Bendersky and Thompson introduced a spectral sequence which, for many spaces X, co...
Abstract. We extend the localization techniques developed by Bloch to sim-plicial spaces. As applica...
We discuss the Adams Spectral Sequence for R–modules based on commutative localized regular quotient...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.In title on t...
The p-primary v1-periodic homotopy groups of a space X, denoted v −1 1 (X; p) or just v−11 (X), were...
Abstract. We show that the class of p-complete connective spectra with finitely presented coho-molog...
Let M n f be the localization of the ∞-category of spaces at the v n -periodic equivalences, the cas...
I will discuss an infinity-category obtained from that of pointed spaces by inverting the maps induc...
AbstractWhen the stable homotopy category is localized with respect to ordinary topological K-theory...
Introduction. In this note, we construct algebraic versions of the Adams Spectral Sequence. The appr...
Mahowald’s conjecture arose as part of a program attempting to view chromatic phenomena in stable ho...
In classical homotopy theory, the Periodicity theorem by Devinatz-Hopkins-Smith gives a complete ans...
Abstract. We construct the Bouseld-Kan (unstable Adams) spectral sequence based on certain non-conne...
This paper arose from attempting to understand Bouseld localization func-tors in stable homotopy the...
The Telescope Conjecture (made public in a lecture at Northwestern Uni-versity in 1977) says that th...
AbstractRecently, Bendersky and Thompson introduced a spectral sequence which, for many spaces X, co...
Abstract. We extend the localization techniques developed by Bloch to sim-plicial spaces. As applica...
We discuss the Adams Spectral Sequence for R–modules based on commutative localized regular quotient...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.In title on t...
The p-primary v1-periodic homotopy groups of a space X, denoted v −1 1 (X; p) or just v−11 (X), were...
Abstract. We show that the class of p-complete connective spectra with finitely presented coho-molog...
Let M n f be the localization of the ∞-category of spaces at the v n -periodic equivalences, the cas...
I will discuss an infinity-category obtained from that of pointed spaces by inverting the maps induc...
AbstractWhen the stable homotopy category is localized with respect to ordinary topological K-theory...
Introduction. In this note, we construct algebraic versions of the Adams Spectral Sequence. The appr...
Mahowald’s conjecture arose as part of a program attempting to view chromatic phenomena in stable ho...
In classical homotopy theory, the Periodicity theorem by Devinatz-Hopkins-Smith gives a complete ans...