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countable chain condition造句

例句與造句

  1. The countable chain condition is the & alefsym; 1-chain condition.
  2. This poset satisfies the countable chain condition.
  3. The real line also satisfies the countable chain condition : every collection of mutually independent of the standard axiomatic system of set theory known as ZFC.
  4. :: : I think that the real heart of this problem lies within the realm of general topology, and in particular, the countable chain condition.
  5. In a Polish group " G ", the ?-algebra of Haar null sets satisfies the countable chain condition if and only if " G " is locally compact.
  6. It's difficult to find countable chain condition in a sentence. 用countable chain condition造句挺難的
  7. Knaster's condition implies a countable chain condition ( ccc ), and it is sometimes used in conjunction with a weaker form of Martin's axiom, where the ccc requirement is replaced with Knaster's condition.
  8. This is called the " countable chain condition " rather than the more logical term " countable antichain condition " for historical reasons related to certain chains of open sets in topological spaces and chains in complete Boolean algebras, where chain conditions sometimes happen to be equivalent to antichain conditions.
  9. \mathbb { P } satisfies the "'countable chain condition "'( c . c . c . ) if and only if every antichain in \ mathbb { P } is countable . ( The name, which is obviously inappropriate, is a holdover from older terminology.
  10. If the requirement for the countable chain condition is replaced with the requirement that " R " contains a countable dense subset ( i . e ., " R " is a separable space ) then the answer is indeed yes : any such set " R " is necessarily order-isomorphic to "'R "'( proved by Cantor ).
  11. :: : I am going to stop now in case I get too carried away; ) but these problems illustrate the diversity of general topology and how simple ideas such as the OP's question may lead to such interesting questions ( for instance, in question one, we know that every separable space satisfies the countable chain condition; the obvious question is whether there exists a non-separable space which satisfies the countable chain condition ( that is, does the converse hold ? ).
  12. :: : I am going to stop now in case I get too carried away; ) but these problems illustrate the diversity of general topology and how simple ideas such as the OP's question may lead to such interesting questions ( for instance, in question one, we know that every separable space satisfies the countable chain condition; the obvious question is whether there exists a non-separable space which satisfies the countable chain condition ( that is, does the converse hold ? ).

相鄰詞匯

  1. "countable additivity property"造句
  2. "countable and uncountable nouns"造句
  3. "countable antichain condition"造句
  4. "countable base"造句
  5. "countable basis"造句
  6. "countable choice"造句
  7. "countable compactness"造句
  8. "countable covering"造句
  9. "countable dense subsystem"造句
  10. "countable entity"造句
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