TY - JOUR
T1 - Ends of non-metrizable manifolds
T2 - A generalized bagpipe theorem
AU - Fernández-Bretón, David
AU - Vlamis, Nicholas G.
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2022/4/1
Y1 - 2022/4/1
N2 - We initiate the study of ends of non-metrizable manifolds and introduce the notion of short and long ends. Using the theory developed, we provide a characterization of (non-metrizable) surfaces that can be written as the topological sum of a metrizable manifold plus a countable number of “long pipes” in terms of their spaces of ends; this is a direct generalization of Nyikos's bagpipe theorem.
AB - We initiate the study of ends of non-metrizable manifolds and introduce the notion of short and long ends. Using the theory developed, we provide a characterization of (non-metrizable) surfaces that can be written as the topological sum of a metrizable manifold plus a countable number of “long pipes” in terms of their spaces of ends; this is a direct generalization of Nyikos's bagpipe theorem.
KW - Bagpipe
KW - Freudenthal compactification
KW - Non-metrizable manifolds
KW - Nyikos's bagpipe theorem
KW - Space of ends
UR - http://www.scopus.com/inward/record.url?scp=85123695755&partnerID=8YFLogxK
U2 - 10.1016/j.topol.2022.108017
DO - 10.1016/j.topol.2022.108017
M3 - Artículo
AN - SCOPUS:85123695755
SN - 0166-8641
VL - 310
JO - Topology and its Applications
JF - Topology and its Applications
M1 - 108017
ER -