Krishna, Amalendu ; Park, Jinhyun (2015) Semitopologization in motivic homotopy theory and applications Algebraic and Geometric Topology, 15 (2). pp. 823-861. ISSN 1472-2747
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Official URL: http://msp.org/agt/2015/15-2/p08.xhtml
Related URL: http://dx.doi.org/10.2140/agt.2015.15.823
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 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Mathematical Sciences Publishers. |
| Keywords: | Motivic Homotopy; Semitopologization; K–theory; Morphic Cohomology; Algebraic Cobordism |
| ID Code: | 102457 |
| Deposited On: | 09 Mar 2018 10:47 |
| Last Modified: | 09 Mar 2018 10:47 |
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