1 results
MULTIPLE LOOSE MAPS BETWEEN GRAPHS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 110 / Issue 3 / December 2024
- Published online by Cambridge University Press:
- 22 April 2024, pp. 554-563
- Print publication:
- December 2024
-
- Article
-
- You have access
- HTML
- Export citation
-
Given maps
$f_1,\ldots ,f_n:X\to Y$ between (finite and connected) graphs, with 
$n\geq 3$ (the case 
$n=2$ is well known), we say that they are loose if they can be deformed by homotopy to coincidence free maps, and totally loose if they can be deformed by homotopy to maps which are two by two coincidence free. We prove that: (i) if Y is not homeomorphic to the circle, then any maps are totally loose; (ii) otherwise, any maps are loose and they are totally loose if and only if they are homotopic.
