Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of ideals in compactifications   One point compactification is studied in the light of ideal of subsets of
$\mathbb{N}$. $\mathcal{I}$-proper map is introduced and showed that a
continuous map can be extended continuously to the one point
$\mathcal{I}$-compactification if and only if the map is $\mathcal{I}$-proper.
Shrinking condition(C) introduced in this article plays an important role to
study various properties of $\mathcal{I}$-proper maps. It is seen that one
point $\mathcal{I}$-compactification of a topological space may fail to be
Hausdorff but a class $\{\mathcal{I}\}$ of ideals has been identified for which
one point $\mathcal{I}$-compactification coincides with the one point
compactification if it is metrizable.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con