Uniform Paracompactness and it’s Exponential Spaces.
DOI:
https://doi.org/10.58649/4a8kx526Keywords:
uniform space, uniform paracompactness, strong uniform paracompactness, uniformly continuous mapping, exponential space, exponential mappingAbstract
In this paper we establish that the space X is (strongly) uniformly A-paracompact ((strongly) uniformly R-paracompact, strongly uniformly u-paracompact, weakly uniformly u-paracompact, (strongly) uniformly τ-star) if and only if (expc X, expc U) is so. Further, we prove that if f : (X, U) → (Y, V) is a τ-bounded ((strongly) uniformly τ-star) mapping, so is expc f : (expc X, expc U) → (expc Y, expc V), expc(f)(K) = fK.
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No datasets were generated or analysed during the current study.
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Copyright (c) 2026 E.N. Zhusupbekova (Author)
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