Let E be a topological space, \(x_0\) be a point of E, and let \(f: E \rightarrow \mathbb {R}\) be a function. We would like to begin this chapter by recalling two standard definitions.

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Semicontinuity of a Real-Valued Function at a Point

  • Alexander Kharazishvili

摘要

Let E be a topological space, \(x_0\) be a point of E, and let \(f: E \rightarrow \mathbb {R}\) be a function. We would like to begin this chapter by recalling two standard definitions.