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October 3, 2025Open Access

On numerical invariants of retraction map

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NKNursultan Kuanyshov

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Overview

This analysis explores how retraction maps affect numerical invariants in topological spaces, indicating potential stability in their inequalities.

Key Points

  • Retraction maps maintain inequalities among numerical invariants, leading to significant insights on their relationships.
  • Key numerical invariants include cohomological dimensions and categories like the Lusternik-Schnirelmann category.
  • Analyses reveal that numerical invariants retain their behaviors under retraction maps in continuous topological frameworks.
  • The findings extend to recent invariants defined by noted researchers, highlighting broader applications in topology.

Cite This Study

Nursultan Kuanyshov (2025) studied this question.

synapsesocial.com/papers/68e02f3cf0e39f13e7fa256chttps://doi.org/10.48550/arxiv.2509.05745
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