A fibred category together with a cleavage is called a " cleaved category ".
2.
In agriculture, the increased usage of sheep with long-fibred wool allowed a stronger thread to be spun.
3.
These are surfaces fibred over a curve where the general fibre is a curve of arithmetic genus one with a cusp.
4.
The intuitive meaning of a stack is that it is a fibred category such that " all possible gluings work ".
5.
The main application of fibred categories is in descent theory, concerned with a vast generalisation of " glueing " techniques used in topology.
6.
In contrast to the humerii and femora, the parallel-fibred region is far more distinct in the distal bones of the forelimb.
7.
One then considers the fibred category which assigns to any space " B " the groupoid of families over " B ".
8.
The use of these " categories fibred in groupoids " to describe a moduli problem goes back to Grothendieck ( 1960 / 61 ).
9.
In the Edo era, the sheets were mounted on long-fibred paper and preserved scrolled up in plain paulownia boxes placed in another lacquer wooden box.
10.
In order to support descent theory of sufficient generality to be applied in non-trivial situations in algebraic geometry the definition of fibred categories is quite general and abstract.
मोबाइल