Normal subspaces in products of two ordinals

Nobuyuki Kemoto; Tsugunori Nogura; Kerry Smith; Yukinobu Yajima

Fundamenta Mathematicae (1996)

  • Volume: 151, Issue: 3, page 279-297
  • ISSN: 0016-2736

Abstract

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

How to cite

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Kemoto, Nobuyuki, et al. "Normal subspaces in products of two ordinals." Fundamenta Mathematicae 151.3 (1996): 279-297. <http://eudml.org/doc/212195>.

@article{Kemoto1996,
abstract = {Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of $(λ+1)^2$.},
author = {Kemoto, Nobuyuki, Nogura, Tsugunori, Smith, Kerry, Yajima, Yukinobu},
journal = {Fundamenta Mathematicae},
keywords = {(collectionwise) normal; shrinking; product space; ordinal number; order topology; normal; collectionwise normal; shrinking property},
language = {eng},
number = {3},
pages = {279-297},
title = {Normal subspaces in products of two ordinals},
url = {http://eudml.org/doc/212195},
volume = {151},
year = {1996},
}

TY - JOUR
AU - Kemoto, Nobuyuki
AU - Nogura, Tsugunori
AU - Smith, Kerry
AU - Yajima, Yukinobu
TI - Normal subspaces in products of two ordinals
JO - Fundamenta Mathematicae
PY - 1996
VL - 151
IS - 3
SP - 279
EP - 297
AB - Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of $(λ+1)^2$.
LA - eng
KW - (collectionwise) normal; shrinking; product space; ordinal number; order topology; normal; collectionwise normal; shrinking property
UR - http://eudml.org/doc/212195
ER -

References

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  1. [KOT] N. Kemoto, H. Ohta and K. Tamano, Products of spaces of ordinal numbers, Topology Appl. 45 (1992), 245-260. Zbl0789.54006
  2. [KS] N. Kemoto and K. D. Smith, The product of two ordinals is hereditarily countably metacompact, Topology Appl., to appear. Zbl0883.54009
  3. [Ku] K. Kunen, Set Theory. An Introduction to Independence Proofs, North-Holland, Amsterdam, 1980. 

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