| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp USP, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Ctr Invest & Estud Avanzados IPN, Dept Matemat, Av Inst Politecn Nacl 2508, Mexico City 07000, DF - Mexico
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 56, n. 2, p. 559-578, DEC 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
For a Hausdorff space X, we exhibit an unexpected connection between the sectional number of the Fadell-Neuwirth fibration pi(X)(2,1) : F (X, 2) -> X, and the fixed point property (FPP) for self-maps on X. Explicitly, we demonstrate that a space X has the FPP if and only if 2 is the minimal cardinality of open covers [U-i] of X such that each U-i admits a continuous local section for pi(X)(2,1). This characterization connects a standard problem in fixed point theory to current research trends in topological robotics. (AU) | |
| FAPESP's process: | 18/23678-6 - Configuration spaces in collision free simultaneous Motion Planning Problem |
| Grantee: | Cesar Augusto Ipanaque Zapata |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |