STATIONARY SETS IN TOPOLOGICAL AND PARATOPOLOGICAL GROUPS

Buzyakova R. Z., VURAL Ç.

HOUSTON JOURNAL OF MATHEMATICS, cilt.40, sa.1, ss.267-273, 2014 (SCI-Expanded) identifier identifier

  • 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.