Normal subspaces in products of two ordinals

• Autorzy: Nobuyuki Kemoto , Tsugunori Nogura , Kerry D. Smith , Yukinobu Yajima
• Języki publikacji: EN

Abstrakty

EN

Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of $(λ+1)^2$.

Słowa kluczowe

EN

(collectionwise) normal; shrinking; product space

Kategorie tematyczne

• 54B10: Product spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 151
• Numer: 3
• Strony: 279-297

Daty

wydano

1996

otrzymano

1996-06-03

Twórcy

autor

Nobuyuki Kemoto

• Department of Mathematics, Faculty of Education, Oita University, Dannoharu, Oita, 870-11, Japan,

autor

Tsugunori Nogura

• Department of Mathematics, Faculty of Science, Ehime University, Matsuyama, Japan,

autor

Kerry D. Smith

• Department of Mathematical Sciences, Franklin College, Franklin, Indiana 46131, U.S.A.,

autor

Yukinobu Yajima

• Department of Mathematics, Kanagawa University, Yokohama 221, Japan,

Bibliografia

• [KOT] N. Kemoto, H. Ohta and K. Tamano, Products of spaces of ordinal numbers, Topology Appl. 45 (1992), 245-260.
• [KS] N. Kemoto and K. D. Smith, The product of two ordinals is hereditarily countably metacompact, Topology Appl., to appear.
• [Ku] K. Kunen, Set Theory. An Introduction to Independence Proofs, North-Holland, Amsterdam, 1980.