homotopy type invariant

例句：

1. 1. The researchers discovered a new homotopy type invariant that could potentially revolutionize the field.
   研究人员发现了一种新的同胚型不变量，这可能会彻底改变该领域。
2. 2. In mathematics, the homotopy type invariant is used to determine the stability of a function under different transformations.
   在数学中，同胚型不变量用于确定函数在不同变换下的稳定性。
3. 3. The discovery of this homotopy type invariant has sparked a debate among experts about itspotential applications in engineering and science.
   这一同胚型不变量的发现引发了专家们关于其在工程和科学中潜在应用的辩论。