Another viewpoint on J-spaces
Markus Spitzweck

TL;DR
This paper offers a new interpretation of J-spaces using symmetric spectra, enabling the definition of graded endomorphism objects and providing applications in motivic homotopy theory and infinity categories.
Contribution
It introduces a novel perspective on J-spaces via symmetric spectra and extends the concept to graded endomorphisms in a broad context.
Findings
Interpretation of J-spaces through symmetric spectra
Definition of graded endomorphism objects in general settings
Application to motivic E-infinity ring spectra
Abstract
We give an interpretation of J-spaces in terms of symmetric spectra in symmetric sequences. As application we show how one can define graded endomorphism objects in a general situation. As example we discuss the motivic bigraded endomorphisms of a motivic E-infinity ring spectrum. Finally we give an infinity categorical interpretation of our result.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons
