Topological applications of graded Frobenius $n$-homomorphisms

DOI10.1090/S0077-1554-2012-00191-5zbMath1254.54030MaRDI QIDQ5388843

Dmitriĭ V. Gugnin

Publication date: 20 April 2012

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Frobeniusgraded algebracohomological length\(n\)-valued topological groupgraded \(n\)-homomorphismSmith-Dold branched covering

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Low-dimensional topology of special (e.g., branched) coverings (57M12) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items

Lower bounds for the degree of a branched covering of a manifold ⋮ Topological applications of graded Frobenius $n$-homomorphisms, II ⋮ Any suspension and any homology sphere are \(2H\)-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homology of symmetric products and other functors of complexes
• Geometrization and generalization of the Kowalevski top
• Polynomially dependent homomorphisms and Frobenius \(n\)-homomorphisms.
• The degree and branch set of a branched covering
• Multivalued groups, their representations and Hopf algebras
• The Gelfand map and symmetric products
• Transfer and ramified coverings
• On the structure of a Hopf cohomology 2-algebra of four-dimensional manifolds
• Ramified coverings, orbit projections and symmetric powers
• Multivalued groups and Hopfn-algebras
• Rings of continuous functions, symmetric products, and Frobenius algebras
• Frobenius n-homomorphisms, transfers and branched coverings
• Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups
• A constructive proof of the generalized Gelfand isomorphism