Hereditarily covering properties of inverse sequence limits

Abstract

Let {X_i, π_kⁱ, 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 metaLindelöfness / hereditarily weakly suborthocompactness / hereditarily δθ-refinability / hereditarily weakly θ-refinability / countable product

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