Abstract
We study the semitopologization functor of Friedlander and Walker from the perspective of motivic homotopy theory. We construct a triangulated endofunctor on the stable motivic homotopy category , which we call homotopy semitopologization. As applications, we discuss the representability of several semitopological cohomology theories in , a construction of a semitopological analogue of algebraic cobordism and a construction of Atiyah–Hirzebruch type spectral sequences for this theory.
Citation
Amalendu Krishna. Jinhyun Park. "Semitopologization in motivic homotopy theory and applications." Algebr. Geom. Topol. 15 (2) 823 - 861, 2015. https://doi.org/10.2140/agt.2015.15.823
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