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In the context of algebraic topology and category theory, a **simplicial map** is a function between simplicial sets that preserves the structure of simplicial complexes. To understand this more formally, let's break it down: ### Simplicial Sets and Simplicial Complexes 1. **Simplicial Complex**: A simplicial complex is a set composed of "simplices" (generalized triangles) that satisfy certain properties.

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  1. Simplicial homology
  2. Computational topology
  3. Applied mathematics
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