Definition 1 A covering space of a topological space \(X\) is a topological space \(C\) together with a continuous surjective map \(p: C \to X\) such that for every point \(x \in X\), there exists an open neighborhood \(U\) of \(x\) such that \(p^{-1}(U) \cong F \times U\) for some discrete set \(F\) (called the fiber over \(x\)), and the map \(p\) restricted to each component of \(p^{-1}(U)\) is a homeomorphism onto \(U\).
According to multiple reports, Apple is working on a low-cost MacBook, which would allow the company to compete with inexpensive laptops for the first time. As Apple drips out news this week about its newest iPhones and MacBooks, could we finally see this new laptop unveiled? If reporting from MacRumors and Bloomberg is correct, the lower-cost MacBook, which is rumored to be released in multiple colors, could be announced as soon as Wednesday.
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