arXiv Open Access 2024

Simplifications of finite spaces equipped with sheaves

Artem Malko

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Abstrak

Following the classical results of Stong, we introduce a cohomological analogue of a core of a finite sheaved topological space and propose an algorithm for simplification in this category. In particular we generalize the notion of beat vertices and show that if a vertex of a sheaved space has topologically acyclic downset (with trivial coefficients), then its removal preserves the sheaf cohomology.

Topik & Kata Kunci

math.AT

Penulis (1)

Artem Malko

Format Sitasi

APA MLA BibTeX

Malko, A. (2024). Simplifications of finite spaces equipped with sheaves. https://arxiv.org/abs/2412.11354

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓