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1. The third homotopy theorem is a fundamental result in topology that helps us understand the structure of spaces more deeply.
第三同伦定理是拓扑学中的一个基本结果,它帮助我们更深入地理解空间的结构。
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2. In the study of differential equations, the third homotopy theorem plays a crucialrole in determining the behavior of solutions.
在研究微分方程时,第三同伦定理在确定解的行为方面起着至关重要的作用。
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3.The third homotopy theorem has been used to prove many important results in mathematics and physics.
第三同伦定理已经被用来证明了许多重要的数学和物理结果。