Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 4: 987 - 997

DOI: https://doi.org/10.1007/s11464-013-0277-y

RESEARCH ARTICLE

Hereditarily covering properties of inverse sequence limits

  • Bin ZHAO ,
  • Aili SONG ,
  • Jing WEI
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  • Department of Mathematics, Kashi Teachers College, Kashi 844007, China

Received date: 29 Oct 2012

Accepted date: 13 Dec 2012

Published date: 01 Aug 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let {Xi, πki,ω} be an inverse sequence and X = ←lim⁡{Xi,πki,ω}. If each Xi is hereditarily (resp. metaLindelöf, σ-metaLindelöf, σ-orthocompact, weakly suborthocompact, δθ-refinable, weakly θ-refinable, weakly δθ-refinable), then so is X.

Key words： Inverse sequence limit; hereditarily metaLindelσfness; hereditarily weakly suborthocompactness; hereditarily δθ-refinability; hereditarily weakly θ-refinability; countable product

Cite this article

Bin ZHAO , Aili SONG , Jing WEI . Hereditarily covering properties of inverse sequence limits[J]. Frontiers of Mathematics in China, 2013 , 8(4) : 987 -997 . DOI: 10.1007/s11464-013-0277-y

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