Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local compactness in right bounded asymmetric normed spaces   We characterize the finite dimensional asymmetric normed spaces which are
right bounded and the relation of this property with the natural compactness
properties of the unit ball, as compactness and strong compactness. In contrast
with some results found in the existing literature, we show that not all right
bounded asymmetric norms have compact closed balls. We also prove that there
are finite dimensional asymmetric normed spaces that satisfy that the closed
unit ball is compact, but not strongly compact, closing in this way an open
question on the topology of finite dimensional asymmetric normed spaces. In the
positive direction, we will prove that a finite dimensional asymmetric normed
space is strongly locally compact if and only if it is right bounded.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph