While it was taking off, it apparently hit the open cover of a runway light, so this caused some damage to the landing gear,
22.
But then you notice that the two rectangles actually form a giant ink pad, and that the silver metal half is its open cover.
23.
It turns out that after doing this, there is an open cover of the curve by two affine charts : the one already given by
24.
A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.
25.
Since C _ 0 ?" S is compact and ( U _ n ) is an open cover of it, we can extract a finite cover.
26.
By taking a direct limit of ech cohomology over arbitrarily fine covers, we obtain a ech cohomology theory that does not depend on the open cover chosen.
27.
Since E has measure zero, there exists an open cover A of E consisting of disjoint intervals where the sum of the lengths is less than ?.
28.
In fact, a T 1 space is Hausdorff and paracompact if and only if it admits partitions of unity subordinate to any open cover ( see below ).
29.
Is an open cover of, then the calculation of the integral asymptotic is reduced to the case of a singe saddle point by employing the partition of unity.
30.
An open cover of a space " X " is " locally finite " if every point of the space has a finitely many sets in the cover.
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