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Comparing open book and Heegaard decompositions of 3-manifolds
3-manifolds Heegaard decompositions
2010/3/1
We study the maximal value of the Euler characteristic of the pages of all open book decompositions of closed orientable 3-manifolds. In particular, we describe some examples where the minimal genus H...
Atomic Decompositions for Weak Hardy Spaces w${\mathcal{Q}}_p$ and w${\mathcal{D}}_p$
Martingale Weak Hardy space Atomic decomposition
2010/1/22
In this paper some necessary and sufficient conditions for new forms of atomic decompositions of weak martingale Hardy spaces w and w are obtained.
Uniqueness of Coprimary Decompositions
Coprimary decomposition normal decomposition prime ideal left Noetherian ring right Noetherian ring
2010/2/26
Uniqueness properties of coprimary decompositions of modules over non-commutative rings are presented.
In 2004, Al-Hawary and Al-Omari introduced and explored the class of wo-open sets which is strictly stronger than the class of w-open sets and weaker than that of open sets. In this paper, we introduc...