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49 p, 657.8 KB |
Constructing compacta from posets
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Bartoš, Adam (Czech Academy of Sciences. Institute of Mathematics) ;
Bice, Tristan (Czech Academy of Sciences. Institute of Mathematics) ;
Vignati, Alessandro (Institut de Mathématiques de Jussieu - Paris Rive Gauche)
We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second-countable T1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analogue of classical constructions defining compacta from progressively finer open covers.
2025 -  10.5565/PUBLMAT6912510
Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 217-265 (Articles)
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2024-12-12
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2024-12-12
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23 p, 423.3 KB |
On derived-indecomposable solutions of the Yang-Baxter equation
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Colazzo, Ilaria (University of Leeds. School of Mathematics) ;
Ferrara, Maria (Università degli Studi della Campania "Luigi Vanvitelli". Dipartimento di Matematica e Fisica) ;
Trombetti, Marco (Università degli Studi di Napoli "Federico II". Dipartimento di Matematica e Applicazioni "R. Caccioppoli")
If (X, r) is a finite non-degenerate set-theoretic solution of the Yang-Baxter equation, the additive group of the structure skew brace G(X, r) is an F C-group, i. e. a group whose elements have finitely many conjugates. [...]
2025 - 10.5565/PUBLMAT6912508
Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 171-193 (Articles)
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2024-12-12
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37 p, 586.0 KB |
On the strong subdifferentiability of homogeneous polynomials and (symmetric) tensor products
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Dantas, Sheldon (Universidad de Granada. Departamento de Análisis Matemático) ;
Jung, Mingu (June E. Huh Center for Mathematical Challenges (Seül, Corea del Sud)) ;
Mazzitelli, Martin (Universidad Nacional de Cuyo (Argentina)) ;
Rodríguez, Jorge Tomas (Universidad Nacional del Centro de la Provincia de Buenos Aires. Departamento de Matemática)
We study the (uniform) strong subdifferentiability of norms of Banach spaces P(N X, Y ∗) of all continuous N-homogeneous polynomials and tensor products of Banach spaces, namely X⊗b π· · · ⊗b πX and ⊗b πs,NX. [...]
2025 - 10.5565/PUBLMAT6912505
Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 109-145 (Articles)
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2024-12-12
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15 p, 441.3 KB |
Multisections of surface bundles and bundles over S1
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Moussard, Delphine (Institut de Mathématiques de Marseille)
A multisection is a decomposition of a manifold into 1-handlebodies, where each subcollection of the pieces intersects along a 1-handlebody except the global intersection, which is a closed surface. These generalizations of Heegaard splittings and Gay-Kirby trisections were introduced by Ben Aribi, Courte, Golla, and the author, who proved in particular that any 5-manifold admits sucha multisection. [...]
2025 - 10.5565/PUBLMAT6912506
Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 147-161 (Articles)
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2024-12-12
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38 p, 555.4 KB |
Porcupine-quotient graphs, the fourth primary color, and graded composition series of Leavitt path algebras
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Vaš, Lia (Saint Joseph's University (Philadelphia, Estats Units d'Amèrica). Department of Mathematics)
If E is a directed graph, K is a field, and I is a graded ideal of the Leavitt path algebra LK(E), then I is completely determined by a pair (H, S) of two sets of vertices of E, called an admissible pair, and one writes I = I(H, S) in this case. [...]
2025 - 10.5565/PUBLMAT6912503
Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 45-82 (Articles)
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