Semitopologization in motivic homotopy theory and applications

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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 SH(C), which we call homotopy semitopologization. As applications, we discuss the representability of several semitopological cohomology theories in SH(C), a construction of a semitopological analogue of algebraic cobordism and a construction of Atiyah-Hirzebruch type spectral sequences for this theory.
Publisher
GEOMETRY TOPOLOGY PUBLICATIONS
Issue Date
2015-04
Language
English
Article Type
Article
Keywords

TOPOLOGICAL K-THEORY; COHOMOLOGY THEORIES; VARIETIES

Citation

ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.15, no.2, pp.823 - 861

ISSN
1472-2739
DOI
10.2140/agt.2015.15.823
URI
http://hdl.handle.net/10203/198767
Appears in Collection
MA-Journal Papers(저널논문)
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