| RUS ENG |
| Полная версия |
|
|
|
| СЕМИНАРЫ |
|
Семинар международной лаборатории алгебраической топологии и ее приложений (АТиП)
|
|||
|
|
|||
|
[A Higher-Dimensional Generalization of the Heawood Theorem on Embeddings of Graphs into Surfaces] Е. С. Коган, А. Б. Скопенков |
|||
|
Аннотация: We present a short well-structured exposition of the 2019 Patak-Tancer higher-dimensional generalization of the Heawood inequality for embeddings of graphs into surfaces. This exposition clarifies the relation of the Patak-Tancer proof to earlier known results. This exposition is accessible to non-specialists in the field. A simplified version of the Patak-Tancer result is as follows. Theorem. If the union of k-dimensional faces of the n-dimensional simplex PL embeds into the connected sum of g copies of the Cartesian product S^k \times S^k of two k-dimensional spheres, then g is at least (n-2k-1)/(k+2). Язык доклада: английский |
|||