Composition of Roofs in Derived Category
Selcan Aksoy
TL;DR
This paper demonstrates that the composition of two roofs in a derived category results in another roof, utilizing the mapping cone construction of morphisms between cochain complexes.
Contribution
It establishes a fundamental property of roofs in derived categories, showing their composition is closed under the operation using mapping cones.
Findings
Proves composition of roofs yields another roof
Uses mapping cone of morphisms in cochain complexes
Provides a foundational result in derived category theory
Abstract
In that paper, we prove that the composition of two roofs is another roof by using mapping cone of a morphism of cochain complexes.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Topological and Geometric Data Analysis · Graph Labeling and Dimension Problems