The magic of the h-vector
Throughout the history of mathematics we have been able to appreciate the existence of diverse and wonderful connections between dierent areas, resulting in the interest of studying topics involving ideas from dierent elds of mathematics. Such is the case of polyhedral combinatorics. One of the most...
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Universidad Antonio Nariño
2023
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| Online Access: | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1478 https://repositorio.uan.edu.co/handle/123456789/11562 |
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| author | Almendra Hernández, Félix |
| author_facet | Almendra Hernández, Félix |
| author_sort | Almendra Hernández, Félix |
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| description | Throughout the history of mathematics we have been able to appreciate the existence of diverse and wonderful connections between dierent areas, resulting in the interest of studying topics involving ideas from dierent elds of mathematics. Such is the case of polyhedral combinatorics. One of the most important results in this eld is the Upper Bound Theorem. With the proof of this theorem, a wonderful connection between geometry and combinatorial polytopes was discovered. The purpose of this text is to introduce some denitions and ideas that are developed in the proof of the Upper Bound Theorem. The main character of our brief text will be the h-vector. |
| format | info:eu-repo/semantics/article |
| id | repositorio.uan.edu.co-123456789-11562 |
| institution | Repositorio Digital UAN |
| language | spa |
| publishDate | 2023 |
| publisher | Universidad Antonio Nariño |
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| spelling | repositorio.uan.edu.co-123456789-115622024-10-11T20:03:47Z The magic of the h-vector La magia del h-vector Almendra Hernández, Félix combinatoria polihédrica, complejos simpliciales, h-vecto polyhedral combinatorics, simplicial complexes, h-vector. Throughout the history of mathematics we have been able to appreciate the existence of diverse and wonderful connections between dierent areas, resulting in the interest of studying topics involving ideas from dierent elds of mathematics. Such is the case of polyhedral combinatorics. One of the most important results in this eld is the Upper Bound Theorem. With the proof of this theorem, a wonderful connection between geometry and combinatorial polytopes was discovered. The purpose of this text is to introduce some denitions and ideas that are developed in the proof of the Upper Bound Theorem. The main character of our brief text will be the h-vector. A lo largo de la historia de las matemáticas hemos apreciado la existencia de diversas y maravillosas conexiones entre diferentes áreas, resultando en el interés por estudiar temas que involucren ideas de distintas ramas de las matemáticas. Tal es el caso de la combinatoria polihédrica. Uno de los resultados más importantes en este campo es el Teorema de la Cota Superior. Con la demostración de este teorema se descubrió una maravillosa conexión entre la geometría y la combinatoria de los politopos. El propósito de este texto es introducir algunas deniciones e ideas desarrolladas en la prueba del Teorema de la Cota Superior. El protagonista de nuestro breve texto será el h-vector. 2023-09-25 2024-10-11T20:03:47Z 2024-10-11T20:03:47Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo revisado por pares https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1478 10.54104/em.v2i1.1478 https://repositorio.uan.edu.co/handle/123456789/11562 spa https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1478/1144 Derechos de autor 2022 ESPACIO MATEMÁTICO application/pdf Universidad Antonio Nariño ESPACIO MATEMÁTICO Journal; Vol. 2 No. 1 (2021) Espacio Matemático; Vol. 2 Núm. 1 (2021) ESPACIO MATEMÁTICO; Vol. 2 No 1 (2021) Revista Espacio Matemático; v. 2 n. 1 (2021) 2711-1792 10.54104/em.v2i1 |
| spellingShingle | combinatoria polihédrica, complejos simpliciales, h-vecto polyhedral combinatorics, simplicial complexes, h-vector. Almendra Hernández, Félix The magic of the h-vector |
| title | The magic of the h-vector |
| title_full | The magic of the h-vector |
| title_fullStr | The magic of the h-vector |
| title_full_unstemmed | The magic of the h-vector |
| title_short | The magic of the h-vector |
| title_sort | magic of the h vector |
| topic | combinatoria polihédrica, complejos simpliciales, h-vecto polyhedral combinatorics, simplicial complexes, h-vector. |
| url | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1478 https://repositorio.uan.edu.co/handle/123456789/11562 |
| work_keys_str_mv | AT almendrahernandezfelix themagicofthehvector AT almendrahernandezfelix lamagiadelhvector AT almendrahernandezfelix magicofthehvector |
