Extensions of ordered sets having the finite cutset property
نویسنده
چکیده
Let P be an ordered set. P is said to have the finite cutset property if for every x in P there is a finite set F of elements which are noncomparable to x such that every maximal chain in P meets {x} t.J F. It is well known that this property is equivalent to the space of maximal chains of P being compact. We consider the following question: Which ordered sets P can be embedded in an ordered set Q which has the finite cutset property? For x e P, we let x ÷ = {t9 ~ P: x ~<p}. Our main results are the following:
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 58 شماره
صفحات -
تاریخ انتشار 1986