open cover वाक्य
उदाहरण वाक्य
मोबाइल
- Similarly one can define the join \ textstyle \ bigvee _ { i = 1 } ^ n \ alpha _ i of any finite collection of open covers of \ textstyle X.
- The adverb " "'countably "'" can be added to any of the adjectives " paracompact ", " metacompact ", and " fully normal " to make the requirement apply only to countable open covers.
- Then is an open cover of " S ", but any finite subcollection of has the form of " C " discussed previously, and thus cannot be an open subcover of " S ".
- The Leray condition on an open cover ensures that the cover in question is already " fine enough . " The derived functor cohomology agrees with the ech cohomology with respect to any Leray cover.
- This means that ever open cover has a countable subcover which means that in particular the topology on X has a countable subcover and let that countable subcover be the basis and we are done.
- Since each point x is contained in its own U _ x, we find that the collection \ { U _ x \ mid x \ in M \ } is an open cover of M.
- On the other hand, ech cohomology with respect to an open cover is well-suited to calculation, but of limited usefulness because it depends on the open cover chosen, not only on the sheaves and the space.
- On the other hand, ech cohomology with respect to an open cover is well-suited to calculation, but of limited usefulness because it depends on the open cover chosen, not only on the sheaves and the space.
- Lindel�f's lemma is also known as the statement that every open cover in a second-countable space has a countable subcover ( Kelley 1955 : 49 ) This means that every second-countable space is also a Lindel�f space.
- Similarly, any open cover of the unit disk in the two-dimensional plane can be refined so that any point of the disk is contained in no more than three open sets, while two are in general not sufficient.
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