| dc.contributor.author | Farber, M | |
| dc.contributor.author | Kishimoto, D | |
| dc.contributor.author | Stanley, D | |
| dc.date.accessioned | 2020-04-17T12:41:52Z | |
| dc.date.available | 2020-03-22 | |
| dc.date.available | 2020-04-17T12:41:52Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0016-660X | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/63612 | |
| dc.description.abstract | We examine the rationality conjecture raised in [1] which
states that (a) the formal power series
a rational function of x with a single pole of order 2 at x = 1 and (b) the leading coefficient of the pole equals cat(X). Here X is a finite CW- complex and for r ≥ 2 the symbol TCr(X) denotes its r-th sequential topological complexity. We analyse an example (violating the Ganea conjecture) and conclude that part (b) of the rationality conjecture is false in general. Besides, we establish a cohomological version of the rationality conjecture. | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology | |
| dc.title | GENERATING FUNCTIONS AND TOPOLOGICAL COMPLEXITY | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © Elsevier 2020 | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| dcterms.dateAccepted | 2020-03-22 | |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Probabilistic & deterministic topology::Leverhulme Trust | en_US |
