Topological realizations of finite posets PF5JJ9DS8Q
| URI | m2://res/PF5JJ9DS8Q |
|---|---|
| Kind | preprint |
| Creators | Vin de Silva |
| Date | 2026-10-10 |
| MSC | 55-XX, 54-XX |
| Subjects | arxiv math.AT, arxiv math.GN |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-10 |
| Ids | arXiv 2610.15099, zbl_id 903207645 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 19C6NVK6Z5 | example | example 2.4.4 | arxiv |
| product of two posets | example | example 5.2.4 | arxiv |
| link-cofibrancy | definition | definition 3.2.1 | arxiv |
| trad.\ version | statement | lemma Lemma | arxiv |
| minimal elements | example | example 2.4.6 | arxiv |
| 2ZBVC8F6DE | statement | lemma Lemma | arxiv |
| simplicial complex | example | example 2.2.6 | arxiv |
| 4EEYKK41QY | definition | definition 7.2.3 | arxiv |
| 4HZR7G06H9 | statement | proposition 3.4.1 | arxiv |
| 4QW4YWB3JD | statement | proposition 3.2.9 | arxiv |
| existence | statement | theorem 5.3.4 | arxiv |
| 5CBB4XXH88 | statement | proposition 5.1.5 | arxiv |
| 5JHYX28G4Y | definition | definition 5.3.6 | arxiv |
| classifying map interpretation | statement | proposition 2.4.10 | arxiv |
| 6GB4P0DQ9T | example | example 3.1.2 | arxiv |
| 6N37Y1MY45 | definition | definition 2.4.3 | arxiv |
| 7H2V2S8YXW | statement | proposition 2.3.5 | arxiv |
| mapping-space contractibility | statement | theorem 4.3.1 | arxiv |
| 836593ZFFV | example | example 6.3.3 | arxiv |
| CW-complex | example | example 2.2.9 | arxiv |
| 94F0YC9BRN | statement | corollary 5.3.3 | arxiv |
| bounded lattices interpretation | statement | proposition 2.4.9 | arxiv |
| 9BXH00A6MM | statement | proposition 7.2.4 | arxiv |
| existence | statement | proposition 5.1.1 | arxiv |
| A9Y81P41E1 | statement | lemma 4.3.2 | arxiv |
| AFNHK24FY4 | definition | definition 5.3.5 | arxiv |
| indicator set | definition | definition 2.2.2 | arxiv |
| up-cone | example | example 5.2.1 | arxiv |
| $V$-complex | example | example 2.4.7 | arxiv |
| BH616M2N2F | statement | proposition 3.1.1 | arxiv |
| simplicial complex | example | example 5.4.1 | arxiv |
| poset homotopy | definition | definition 5.1.6 | arxiv |
| relative QTA for finite posets | statement | theorem 6.2.1 | arxiv |
| $\phi$-pushforward | example | example 2.3.3 | arxiv |
| down-cone | example | example 5.2.2 | arxiv |
| D6EMKSCGH5 | statement | lemma Lemma | arxiv |
| QTA for finite posets, dual form | statement | theorem 6.1.2 | arxiv |
| EJY9437Q0W | example | example 3.2.6 | arxiv |
| EVXANRE92R | example | example 5.1.2 | arxiv |
| FFX48X6V9E | example | example 2.4.8 | arxiv |
| nerve theorem | statement | theorem 7.3.1 | arxiv |
| GKRD77TJN7 | example | example 3.3.1 | arxiv |
| separated poset system | definition | definition 2.4.1 | arxiv |
| HB8T9D04Z6 | statement | proposition 5.5.1 | arxiv |
| Carrier Lemma | statement | theorem 4.2.1 | arxiv |
| K1QAYWMA83 | statement | proposition 3.2.5 | arxiv |
| Homotopy Gluing Theorem | statement | theorem 6.2.3 | arxiv |
| comparable maps are homotopic | example | example 5.2.3 | arxiv |
| Extension Lemma | statement | lemma 4.2.3 | arxiv |
| subsystem | example | example 2.2.4 | arxiv |
| MA9D8VHT7R | example | example 7.4.1 | arxiv |
| tautological system | example | example 2.2.5 | arxiv |
| nerve theorem naturality | statement | proposition 7.3.2 | arxiv |
| topological attachment | statement | proposition 3.4.3 | arxiv |
| product fiber theorem | statement | proposition 6.3.1 | arxiv |
| order complexes as CL-complexes | definition | definition 5.3.1 | arxiv |
| Generalized Homotopy Gluing Theorem | statement | theorem 6.2.2 | arxiv |
| special case | statement | proposition 3.2.3 | arxiv |
| S0MYKYTSJE | example | example 2.3.1 | arxiv |
| S1G9962RBR | statement | proposition 3.2.2 | arxiv |
| T2M1WY11DB | statement | proposition 6.3.2 | arxiv |
| poset system | definition | definition 2.2.1 | arxiv |
| TT7A9BE11X | example | example 5.4.4 | arxiv |
| standard $n$-simplex | example | example 2.2.8 | arxiv |
| VK6XSKZSFH | statement | proposition 5.1.4 | arxiv |
| VKTGWQS4VK | statement | theorem 5.1.3 | arxiv |
| W4RGMNM8XR | definition | definition 7.2.2 | arxiv |
| Dowker's theorem | example | example 6.3.5 | arxiv |
| QTA for finite posets | statement | theorem 6.1.1 | arxiv |
| Sheehy's multicover nerve theorem | statement | theorem 7.4.2 | arxiv |
| subcomplex inclusions | statement | proposition 3.2.4 | arxiv |
| X3EGCZWBD1 | example | example 7.1.1 | arxiv |
| maps of order complexes | statement | proposition 5.3.2 | arxiv |
| regular CW-complexes | example | example 5.2.5 | arxiv |
| $f$-pullback | example | example 2.3.2 | arxiv |
| attachment | statement | corollary 3.4.2 | arxiv |
| multicover nerve theorem naturality | statement | proposition 7.4.3 | arxiv |
| ZG50Q2DXKR | example | example 2.2.10 | arxiv |
| poset complex | definition | definition 2.4.2 | arxiv |
Catalogue records
- arxiv: 2610.15099 (work)
- arxiv_text: 2610.15099 (work)
- zbmath_search: 903207645 (work)