Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shy Maps in Topology   There is a concept in digital topology of a shy map. We define an analogous
concept for topological spaces: We say a function is shy if it is continuous
and the inverse image of every path-connected subset of its image is
path-connected. Some basic properties of such maps are presented. For example,
every shy map onto a semilocally simply connected space induces a surjection of
fundamental groups (but a shy map onto a space that is not semilocally simply
connected need not do so).

18
The categories of this paper are: econ
1
The categories of this paper are: cs
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
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg