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Hereditarily covering properties of inverse sequence limits |
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| Authors: | Bin ZHAO Aili SONG Jing WEI |
| Institution: | Department of Mathematics, Kashi Teachers College, Kashi 844007, China |
| Abstract: | Let {X i , π k i , ω} be an inverse sequence and $X = \mathop {\lim }\limits_ \leftarrow \left\{ {X_i ,\pi _k^i ,\omega } \right\}$ . If each X i is hereditarily (resp. metaLindelöf, σ-metaLindelöf, σ-orthocompact, weakly suborthocompact, δθ-refinable, weakly θ-refinable, weakly δθ-refinable), then so is X. |
| Keywords: | Inverse sequence limit hereditarily metaLindel(o)fness hereditarily weakly suborthocompactness hereditarily δθ-refinability hereditarily weakly θ-refinability countable product |
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