The Additive Exhaustive Functions On M-Lattice
Endre Pap (1976)
Publications de l'Institut Mathématique
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Endre Pap (1976)
Publications de l'Institut Mathématique
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Goeffrey Fox, Pedro Morales (1973)
Fundamenta Mathematicae
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Otton Martin Nikodým (1969)
Rendiconti del Seminario Matematico della Università di Padova
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Mavoungou, J.P., Nkuimi-Jugnia, C. (2006)
International Journal of Mathematics and Mathematical Sciences
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Edwin Spanier (1990)
Publicacions Matemàtiques
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In this paper the concept of weakly additive cohomology theory is introduced as a variant of the known concept of additive cohomology theory. It is shown that for a closed A in X the singular homology of the pair (X, X-A) (with some fixed cohomology group) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Furthermore, every compactly supported cohomology theory is weakly additive. The main result is a comparison theorem...
Alexander Grothendieck (1966)
Publications Mathématiques de l'IHÉS
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Ján Jakubík (2002)
Discussiones Mathematicae - General Algebra and Applications
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In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
V. Balachandran (1955)
Fundamenta Mathematicae
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Oswald Wyler (1965-1966)
Compositio Mathematica
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Amelie J. Berger, Peter Mihók (2003)
Discussiones Mathematicae Graph Theory
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An additive induced-hereditary property of graphs is any class of finite simple graphs which is closed under isomorphisms, disjoint unions and induced subgraphs. The set of all additive induced-hereditary properties of graphs, partially ordered by set inclusion, forms a completely distributive lattice. We introduce the notion of the join-decomposability number of a property and then we prove that the prime ideals of the lattice of all additive induced-hereditary properties are divided...
Robin Hartshorne (1975)
Publications Mathématiques de l'IHÉS
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