Projective Fraïssé limits and the pseudo-arc |
| |
Authors: | Trevor Irwin Slawomir Solecki |
| |
Institution: | Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, Illinois 61801 ; Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, Illinois 61801 |
| |
Abstract: | The aim of the present work is to develop a dualization of the Fraïssé limit construction from model theory and to indicate its surprising connections with the pseudo-arc. As corollaries of general results on the dual Fraïssé limits, we obtain Mioduszewski's theorem on surjective universality of the pseudo-arc among chainable continua and a theorem on projective homogeneity of the pseudo-arc (which generalizes a result of Lewis and Smith on density of homeomorphisms of the pseudo-arc among surjective continuous maps from the pseudo-arc to itself). We also get a new characterization of the pseudo-arc via the projective homogeneity property. |
| |
Keywords: | Fra{\"\i}ss{\'e} limit pseudo-arc |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 |