منابع مشابه
Hyperspaces which are products or cones
Let C(X) be the hyperspace of all subcontinua of a metric continuum X. Alejandro Illanes has proved that C(X) is a finitedimensional Cartesian product if and only if X is an arc or a circle. In this paper we shall prove, using the inverse systems and limits, that if X is a non-metric rim-metrizable continuum and C(X) is a finitedimensional Cartesian product, then X is a generalized arc or a gen...
متن کاملMultilinear forms which are products of linear forms
The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.
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Now that the classification of finite simple groups is complete, it is logical to look at the extension problem. An important special case to consider is when M is a minimal normal subgroup of G and both G/M and M are known groups. If M is abelian, various techniques have been used to derive information about G. Indeed, almost the entire theory of finite solvable groups can be said to rest upon...
متن کاملOn shifted products which are powers
Fermat gave the first example of a set of four positive integers {a1, a2, a3, a4} with the property that aiaj + 1 is a square for 1 ≤ i < j ≤ 4. His example was {1, 3, 8, 120}. Baker and Davenport [1] proved that the example could not be extended to a set of 5 positive integers such that the product of any two of them plus one is a square. Kangasabapathy and Ponnudurai [6], Sansone [9] and Grin...
متن کاملmultilinear forms which are products of linear forms
the conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. also we generalize a result due to s.kurepa for 2n-functionals in a group g.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1997
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00178-2