- #1
arnold28
- 14
- 0
Ok I don't understand one thing...We ahd this example in school
We have poset < {1,2,5,7,10,14,35,70}, | >
| meas factor, for example a|b means b=ka, where k=integer
and we got this Hasse diagram
X means crossed lines
But the hasse diagram definition says that we draw a line between element and the element above it if and only if the lower element is the immediate predecessor of the above one. So why is there a line between 1 and 5? Because there's element 2 in between. Same with 1 and 7, 2 and 10, 7 and 35, etc etc same with almost every element. To me they don't seem to be immediate predecessors/successors with each other
I have google some more examples but they all have the same contradiction between definition and example. So what i don't understand here :(
We have poset < {1,2,5,7,10,14,35,70}, | >
| meas factor, for example a|b means b=ka, where k=integer
and we got this Hasse diagram
Code:
70
/ | \
10 14 35
| X X |
2 5 7
\ | /
1X means crossed lines
But the hasse diagram definition says that we draw a line between element and the element above it if and only if the lower element is the immediate predecessor of the above one. So why is there a line between 1 and 5? Because there's element 2 in between. Same with 1 and 7, 2 and 10, 7 and 35, etc etc same with almost every element. To me they don't seem to be immediate predecessors/successors with each other
I have google some more examples but they all have the same contradiction between definition and example. So what i don't understand here :(
Last edited:
