MONOTONE LINDELÖF PROPERTY AND LINEARLY ORDERED EXTENSIONS
نویسندگان
چکیده
منابع مشابه
Some results on linearly Lindelöf spaces ∗
Some new results about linearly Lindelöf spaces are given here. It is proved that if X is a space of countable spread and X = Y ∪ Z, where Y and Z are meta-Lindelöf spaces, then X is linearly Lindelöf. Moreover, we give a positive answer to a problem raised by A.V. Arhangel’skii and R.Z. Buzyakova.
متن کامل4 Small Locally Compact Linearly Lindelöf Spaces ∗
There is a locally compact Hausdorff space of weight אω which is linearly Lindelöf and not Lindelöf.
متن کاملExtensions of ordered sets having the finite cutset property
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 se...
متن کاملLinearly Ordered Topological Spaces
This work is devoted to the study of certain cardinality modifications of paracompactness and compactness in the setting of linearly ordered spaces. Some of the concepts treated here have previously been studied by Aquaro [l]1, Gulden [4], Kennison [5], Mansfield [6], Morita [7], and Poppe [9]. On the other hand, the concept of m-boundedness, introduced in §2, is new. Our main results (Theorems...
متن کاملThe $w$-FF property in trivial extensions
Let $D$ be an integral domain with quotient field $K$, $E$ be a $K$-vector space, $R = D propto E$ be the trivial extension of $D$ by $E$, and $w$ be the so-called $w$-operation. In this paper, we show that $R$ is a $w$-FF ring if and only if $D$ is a $w$-FF domain; and in this case, each $w$-flat $w$-ideal of $R$ is $w$-invertible.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2010
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972709001026