名词
中文翻译：开放连续同态
同义词：
['open continuous mapping', 'open continuous function', 'open continuous morphism']
例句：
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1. In mathematics, open continuous homomorphism is a crucial concept in studying the behavior of functions on manifolds.
在数学中，开放连续同态是研究函数在流形上行为的关键概念。
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2. The open continuous homomorphism between two groups is a key tool for understanding the structure and dynamics of these groups.
两个群之间的开放连续同态是理解这些群的结构及其动态的关键工具。
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3.The open continuous homomorphism between two topological spaces is used to study the topological properties of these spaces.
两个拓扑空间之间的开放连续同态用于研究这些空间的拓扑性质。