Analog category and complexity
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913357363150848 |
|---|---|
| author | Knudsen, Ben Weinberger, Shmuel |
| author_facet | Knudsen, Ben Weinberger, Shmuel |
| contents | We study probabilistic variants of the Lusternik--Schnirelmann category and topological complexity, which bound the classical invariants from below. We present a number of computations illustrating both wide agreement and wide disagreement with the classical notions. In the aspherical case, where our invariants are group invariants, we establish a counterpart of the Eilenberg--Ganea theorem in the torsion-free case, as well as a contrasting universal upper bound in the finite case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analog category and complexity Knudsen, Ben Weinberger, Shmuel Algebraic Topology Geometric Topology We study probabilistic variants of the Lusternik--Schnirelmann category and topological complexity, which bound the classical invariants from below. We present a number of computations illustrating both wide agreement and wide disagreement with the classical notions. In the aspherical case, where our invariants are group invariants, we establish a counterpart of the Eilenberg--Ganea theorem in the torsion-free case, as well as a contrasting universal upper bound in the finite case. |
| title | Analog category and complexity |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2401.15667 |