The degrees of maps between manifolds

DOI10.1007/s00209-002-0475-xzbMath1022.55003OpenAlexW2052911947MaRDI QIDQ1395403

Shi Cheng Wang, Hai Bao Duan

Publication date: 1 July 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0475-x

zbMATH Keywords

quadratic algebradegreeclosed manifold\(J\)-homomorphism\(n\)-space

Mathematics Subject Classification ID

Degree, winding number (55M25) Algebraic topology on manifolds and differential topology (57R19)

Related Items (18)

Non-zero degree maps between \(2n\)-manifolds ⋮ On self-mapping degrees of \(S^{3}\)-geometry manifolds ⋮ On mapping degrees between 1-connected 5-manifolds ⋮ Realization of numbers as the degrees of maps between manifolds ⋮ Counting homotopy classes of mappings via Dijkgraaf-Witten invariants ⋮ ON INTEGERS OCCURRING AS THE MAPPING DEGREE BETWEEN QUASITORIC 4-MANIFOLDS ⋮ Mapping degrees between spherical $ 3$-manifolds ⋮ PULL BACK RELATION FOR NON-SPHERICAL KNOTS ⋮ Homotopy classification of maps between simply connected four manifolds ⋮ Almost complex structures on \((n-1)\)-connected \(2n\)-manifolds ⋮ Homotopy classification of maps between \(r-1\) connected \(2r\) dimensional manifolds ⋮ Degrees of maps between \(S^3\)-bundles over \(S^5\) ⋮ Self-mapping degrees of torus bundles and torus semi-bundles ⋮ A Hopf type classification theorem for isovariant maps from free \(G\)-manifolds to representation spheres ⋮ Computing degree of maps between manifolds ⋮ Cohomogeneity one manifolds and self-maps of nontrivial degree ⋮ Self-homeomorphisms and degree \(\pm 1\) self-maps on lens spaces ⋮ Homotopy of gauge groups over high-dimensional manifolds

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