TL;DR
This paper introduces quasi-theories, a new family of theories inspired by quasi-elliptic cohomology, which can be constructed from constant loop spaces and simplify certain theoretical frameworks.
Contribution
It defines quasi-theories derived from constant loop spaces, providing a structured approach to generalize Tate K-theories and related constructions.
Findings
Quasi-theories are well-defined from constant loop spaces.
They facilitate simplified constructions in generalized Tate K-theories.
Properties of quasi-theories are systematically discussed.
Abstract
In this paper we define a family of theories, quasi-theories, motivated by quasi-elliptic cohomology. They can be defined from constant loop spaces. With them, the constructions on certain theories can be made in a neat way, such as those on generalized Tate K-theories. We set up quasi-theories and discuss their properties.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory