论文标题
同质笛卡尔在外侧类别中
Homotopy cartesian squares in extriangulated categories
论文作者
论文摘要
令$（\ Mathcal {C}，\ Mathbb {E}，\ Mathfrak {S}）$为外部类别。如果在$ \ Mathcal {C} $中组成了两个换向的正方形，则如果两个合理的正方形是同质的笛卡尔，那么它们的构图也是同质的笛卡尔。这涵盖了Mac Lane（1998）的Abelian类别的结果，以及Christensen和Frankland（2022）的三角类别的结果。
Let $(\mathcal{C},\mathbb{E},\mathfrak{s})$ be an extriangulated category. Given a composition of two commutative squares in $\mathcal{C}$, if two commutative squares are homotopy cartesian, then their composition is also a homotopy cartesian. This covers the result by Mac Lane (1998) for abelian categories and the result by Christensen and Frankland (2022) for triangulated categories.
