Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on Bessaga-Klee classification   We collect several variants of the proof of the third case of the
Bessaga-Klee relative classification of closed convex bodies in topological
vector spaces. We were motivated by the fact that we have not found anywhere in
the literature a complete correct proof. In particular, we point out an error
in the proof given in the book of C.~Bessaga and A.~Pe\l czy\'nski (1975). We
further provide a simplified version of T.~Dobrowolski's proof of the smooth
classification of smooth convex bodies in Banach spaces which works
simultaneously in the topological case.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat