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This is a Quantitative Study study.

October 3, 2025Open Access

Parametrized topological complexity of bundles of real projective spaces, I

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Parametrized topological complexity is crucial for collision free motion in autonomous systems.
Sharp upper bounds for parametrized topological complexity are established, improving previous general limits.
Lower bounds are calculated using Stiefel - Whitney characteristic classes, showcasing a new algebraic machinery.
Explicit computations of specific examples illustrate the framework's application and implications in algebraic topology.

Authors

MFMichael FärberQueen Mary University of London APAmit Kumar PaulBose Institute LVLucile VandembroucqUniversity of Minho

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Implication

This analysis reveals upper and lower bounds for parametrized topological complexity in various bundles, suggesting new avenues in geometric topology.

Cite This Study

Färber et al. (2025) studied this question.

synapsesocial.com/papers/68e0450fa99c246f578b40ba https://doi.org/10.48550/arxiv.2509.17839

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Implication

This analysis reveals upper and lower bounds for parametrized topological complexity in various bundles, suggesting new avenues in geometric topology.

Parametrized topological complexity of bundles of real projective spaces, I

Key Points

Discussion

Implication

Cite This Study

Parametrized topological complexity of bundles of real projective spaces, I

Key Points

Discussion

Implication

Cite This Study

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