منابع مشابه
When Hausdorff Continua Have No Gaps
An interpretation of betweenness on a set is gap free if each two distinct points of the set have a third point between them. In this paper we are interested in gap free betweenness relations naturally induced by the topology of Hausdorff continua. In particular, we say c lies between a and b in the K-interpretation precisely when every subcontinuum that contains both a and b also contains c. W...
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A one-sided ideal of a ring has the insertion of factors property (or simply, IFP) if implies r for . We say a one-sided ideal of has the weakly IFP if for each , implies , for some non-negative integer . We give some examples of ideals which have the weakly IFP but have not the IFP. Connections between ideals of which have the IFP and related ideals of some ring extensions a...
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Swingle [7]1 has given the following definitions. (1) A continuum M is said to be the finished sum of the continua of a collection G if G* = M and no continuum of G is a subset of the sum of the others.2 (2) If » is a positive integer, the continuum M is said to be indecomposable under index » if If is the finished sum of « continua and is not the finished sum of »+1 continua. Swingle has shown...
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We show that certain types of zero-forcing sets for a graph give rise to chordal supergraphs and hence to proper colorings. Zero-forcing was originally defined to provide a bound for matrix minimum rank problems [1], but is interesting as a graph-theoretic notion in its own right [5], and has applications to mathematical physics, such as quantum systems [3]. There are different flavors of zero-...
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Laser cutting of glass in not a novel technique, excellent results have already been achieved by various research institutes. There are several patents concerned with controlled cutting of glass with zero width and other brittle materials in a straight line using CO2 laser beam. Laser beam glass cutting produces a high quality cut edge with minimal microcracking. This is achieved using a contro...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1962
ISSN: 0002-9939
DOI: 10.2307/2034965