Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 1-10
Gennaro AMENDOLA
Orientable Closed 3-Manifolds with Surface-Complexity One
Abstract. After a short summary of known results on surfacecomplexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.
Key Words: 3-manifold, Complexity, Immersed surface, Cubulation.
Mathematics Subject Classification (2000): 57M27, 57M20.
Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 1-14
Antonio BOCCUTO – Xenofon DIMITRIOU – Nikolaos PAPANASTASSIOUI
Countably Additive Restrictions and Limit Theorems in l-Groups
Abstract. Some Drewnowski-type lemmas are given for (l)-groupvalued measures. Moreover some Vitali-Hahn-Saks, Schur and
Nikod´ym convergence-type theorems in the context of (l)-groups
are proved.
Key Words: (l)-group, order convergence, σ-additive measure,MOV representation theorem,
Limit theorem, Schur lemma, Drewnowski lemma, Semivariation, Stone Isomorphism technique,
Technical lemma for order sequences.
Mathematics Subject Classification (2000): 26B10, 28B05.
Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 121-134
Antonio BOCCUTO – Xenofon DIMITRIOU – Nikolaos PAPANASTASSIOUI
Countably Additive Restrictions and Limit Theorems in l-Groups
Abstract. Some Drewnowski-type lemmas are given for (l)-groupvalued measures. Moreover some Vitali-Hahn-Saks, Schur and
Nikod´ym convergence-type theorems in the context of (l)-groups
are proved.
Key Words: (l)-group, order convergence, σ-additive measure,
MOV representation theorem, Limit theorem, Schur lemma, Drewnowski lemma, Semivariation, Stone Isomorphism technique,
Technical lemma for order sequences.
Mathematics Subject Classification (2010): 26B10, 28B05.
Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 63-67
Francesca CAGLIARI
Natural Pseudodistance for Shape Comparison and Quotients of Metric Spaces
Abstract. A general topological setting to describe the notion of
natural pseudodistance is introduced. Conditions to get a distance
are given.
Key Words: Size functions, Natural pseudodistance, Pseudometric spaces.
Mathematics Subject Classification (2000): 58C05.
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