Universality of K-Theory
Jos\'e Luis Gonz\'alez, Kalle Karu
TL;DR
This paper establishes that graded K-theory is the universal oriented Borel-Moore homology theory compatible with a multiplicative periodic formal group law, highlighting its foundational role in algebraic geometry.
Contribution
It proves the universality of graded K-theory among oriented Borel-Moore homology theories with a specific formal group law, a novel theoretical result.
Findings
Graded K-theory is universal in its class.
The result applies to theories with a multiplicative periodic formal group law.
Provides a new foundational perspective in algebraic geometry.
Abstract
We prove that graded K-theory is universal among oriented Borel-Moore homology theories with a multiplicative periodic formal group law.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory