Below you will find example sentences with "covering sieves". The examples show how this phrase is used in real sentences and which words often surround it.
Covering Sieves in a sentence
About this phrase
- Belongs to the word: covering
Example types with covering sieves
Below, the examples are grouped by length and sentence type:
To define the discrete topology, we declare all sieves to be covering sieves. (13 words)
The big site is formed by taking the entire category of schemes and their morphisms, together with the covering sieves specified by the topology. (24 words)
In the same way, u sends a sieve on an object X of C to a sieve on the object uX of D. A continuous functor sends covering sieves to covering sieves. (32 words)
If J is the topology defined by a pretopology, and if u commutes with fibered products, then u is continuous if and only if it sends covering sieves to covering sieves and if and only if it sends covering families to covering families. (43 words)
In the same way, u sends a sieve on an object X of C to a sieve on the object uX of D. A continuous functor sends covering sieves to covering sieves. (32 words)
The big site is formed by taking the entire category of schemes and their morphisms, together with the covering sieves specified by the topology. (24 words)
Example sentences (4)
If J is the topology defined by a pretopology, and if u commutes with fibered products, then u is continuous if and only if it sends covering sieves to covering sieves and if and only if it sends covering families to covering families.
In the same way, u sends a sieve on an object X of C to a sieve on the object uX of D. A continuous functor sends covering sieves to covering sieves.
To define the discrete topology, we declare all sieves to be covering sieves.
The big site is formed by taking the entire category of schemes and their morphisms, together with the covering sieves specified by the topology.