Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tie-points and fixed-points in N^*   A point x is a (bow) tie-point of a space X if X setminus {x} can be
partitioned into (relatively) clopen sets each with x in its closure.
Tie-points have appeared in the construction of non-trivial autohomeomorphisms
of betaN setminus N and in the recent study of (precisely) 2-to-1 maps on betaN
setminus N . In these cases the tie-points have been the unique fixed point of
an involution on betaN setminus N. This paper is motivated by the search for
2-to-1 maps and obtaining tie-points of strikingly differing characteristics.

23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat