Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non almost-fibered knots   An almost-fibered knot is a knot whose complement possesses a circular thin
position in which there is one and only one weakly incompressible Seifert
surface and one incompressible Seifert surface. Infinite examples of
almost-fibered knots are known. In this article, we show the existence of
infinitely many hyperbolic genus one knots that are not almost-fibered.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph