A note on H_infinity structures
Tyler Lawson
TL;DR
This paper provides examples of H_infinity ring structures that cannot be extended to E_infinity structures, highlighting limitations in the lifting process within algebraic topology.
Contribution
It introduces specific examples of H_infinity rings that do not admit E_infinity lifts, based on Mandell's equivalence, clarifying the relationship between these structures.
Findings
H_infinity rings that do not lift to E_infinity
Examples based on Mandell's equivalence
Clarification of structural limitations in algebraic topology
Abstract
We give a source of examples of H_infinity ring structures that do not lift to E_infinity ring structures, based on Mandell's equivalence between certain cochain algebras and spaces.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra