2017/04/14 by Alexander Gorokhovsky, Dennis Sullivan, Gorokhovsky, Alexander +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1704.04308
openalex publication_date 2017/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of commutative differential graded algebras over \mathbb Q, we show that an iteration of "odd spherical fibration" creates a "total space" commutative differential graded algebra with only odd degree cohomology. Then we show for such a commutative differential graded algebra that, for any of its "fibrations" with "fiber" of finite cohomological dimension, the induced map on cohomology is injective.