STATIONARY SETS IN TOPOLOGICAL AND PARATOPOLOGICAL GROUPS
HOUSTON JOURNAL OF MATHEMATICS, cilt.40, sa.1, ss.267-273, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 1
- Basım Tarihi: 2014
- Dergi Adı: HOUSTON JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.267-273
- Gazi Üniversitesi Adresli: Evet
Özet
We show that if a topological or paratopological group G contains a stationary subset of some regular uncountable cardinal, then G contains a subspace which is not collectionwise normal. This statement implies that if a monotonically normal space (in particular, any generalized ordered space) is a paratopological group then the space is hereditarily paracompact.