CONNECTEDNESS OF THE CUT SYSTEM COMPLEX ON NONORIENTABLE SURFACES
-
Published:2022-02
Issue:1
Volume:46
Page:21-28
-
ISSN:1450-9628
-
Container-title:Kragujevac Journal of Mathematics
-
language:
-
Short-container-title:KgJMat
Author:
ALI FATEMA, ,ATALAN FERIHE,
Abstract
Let N be a compact, connected, nonorientable surface of genus g with n boundary components. In this note, we show that the cut system complex of N is connected for g < 4 and disconnected for g ≥ 4. We then define a related complex and show that it is connected for g ≥ 4.
Publisher
University Library in Kragujevac
Subject
General Mathematics