On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Author: Chuchman, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154866
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point / I. Chuchman // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 38–52. — Бібліогр.: 10 назв. — англ.

In this paper we study the semigroup IC(I,[a]) (IO(I,[a])) of closed (open) connected partial homeomorphisms of the unit interval I with a fixed point a∈I. We describe left and right ideals of IC(I,[0]) and the Green's relations on IC(I,[0]). We show that the semigroup IC(I,[0]) is bisimple and...