Paracompactness with respect to an ideal

N. Sathiyasundari, V. Renukadevi
2013 Filomat  
In this paper, we study I-paracompact spaces and discuss their properties. Also, we characterize I-paracompact spaces. Some of the results in paracompact spaces have been generalized in terms of I−paracompact spaces. Lemma 1.1. [1] The union of a finite family of locally finite collection of sets in a space (X, τ) is again locally finite. Lemma 1.2. [1] If V is a locally finite family of sets in a space (X, τ), then λ = {cl(Q) | Q ∈ V} is locally finite in X. Lemma 1.3. [3] If {A α | α ∈△} is a
more » ... f {A α | α ∈△} is a locally finite family of subsets in a space (X, τ), and if B α ⊂ A α for each α ∈△, then the family {B α | α ∈△} is locally finite in X.
doi:10.2298/fil1302333s fatcat:oq4rnpzygncxtlfztm7acgqyhu