Takashi Kimura
Abstract
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We give necessary and sufficient conditions for a locally compact space to have a compactification with countably infinite remainder. We also characterize the product space of two locally compact spaces having such a compactification.
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We give necessary and sufficient conditions for a locally compact space to have a compactification with countably infinite remainder. We also characterize the product space of two locally compact spaces having such a compactification.
Key concepts: Compactification (mathematics), Locally compact space, Pure mathematics, Mathematics, Remainder, Product (mathematics), Geometry, Arithmetic