Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotation sets of invariant separating continua of annular homeomorphisms   Let $f$ be a homeomorphism of the closed annulus $A$ isotopic to the
identity, and let $X\subset {\rm Int}A$ be an $f$-invariant continuum which
separates $A$ into two domains, the upper domain $U_+$ and the lower domain
$U_-$. Fixing a lift of $f$ to the universal cover of $A$, one defines the
rotation set $\tilde \rho(X)$ of $X$ by means of the invariant probabilities on
$X$. For any rational number $p/q\in \tilde\rho(X)$, $f$ is shown to admit a
$p/q$ periodic point in $X$, provided that (1) $X$ consists of nonwandering
points or (2) $X$ is an attractor and the frontiers of $U_-$ and $U_+$
coincides with $X$. Also the Carath\'eodory rotation numbers of $U_\pm$ are
shown to be in $\tilde\rho(X)$ for any separating invariant continuum $X$.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th