A fixed-point anomaly in the plane

Tom 186 / 2005

Charles L. Hagopian, Janusz R. Prajs Fundamenta Mathematicae 186 (2005), 233-249 MSC: 54F15, 54H25. DOI: 10.4064/fm186-3-3

Streszczenie

We define an unusual continuum $M$ with the fixed-point property in the plane $\mathbb R^2$. There is a disk $D$ in $\mathbb R^2$ such that $M \cap D$ is an arc and $M \cup D$ does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum $M$ is a countable union of arcs.

Autorzy

  • Charles L. HagopianDepartment of Mathematics
    California State University, Sacramento
    Sacramento, CA 95819-6051, U.S.A.
    e-mail
  • Janusz R. PrajsDepartment of Mathematics
    California State University, Sacramento
    Sacramento, CA 95819-6051, U.S.A.
    and
    Institute of Mathematics and Informatics
    Opole University
    Oleska 48, Opole, Poland
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek