The Borsuk-Ulam property for homotopy classes on bundles, parametrized braids groups and applications for surfaces bundles
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Publication:6659419
DOI10.1016/J.TOPOL.2024.109081MaRDI QIDQ6659419
Daciberg Lima Gonçalves, Weslem L. Silva, Vinicius Casteluber Laass
Publication date: 9 January 2025
Published in: Topology and its Applications (Search for Journal in Brave)
Braid groups; Artin groups (20F36) Fixed points and coincidences in algebraic topology (55M20) Fiber bundles in algebraic topology (55R10)
Cites Work
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- Free involutions on torus semi-bundles and the Borsuk-Ulam theorem for maps into \(\mathbf{R}^n\)
- The Borsuk-Ulam theorem for maps into a surface
- Involutions on torus bundles over \(S^ 1\)
- The degree of a map between surfaces
- The Borsuk-Ulam property for homotopy classes of self-maps of surfaces of Euler characteristic zero
- The Borsuk-Ulam property for maps from the product of two surfaces into a surface
- The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle
- Drei Sätze über die \(n\)-dimensionale euklidische Sphäre.
- Cohomology theory of groups with a single defining relation
- The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. II
- Covering Homotopy Properties of Maps Between C.W. Complexes or ANR's
- A Fiber Homotopy Extension Theorem
- The Nielsen number on surfaces
- Free Cyclic Actions on S 1 × S 1 × S 1
- Sur les ouverts des CW-complexes et les fibrés de Serre
- Fixed points on torus fiber bundles over the circle
- Configuration Spaces.
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