Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological developments of $\mathcal{F}$-metric spaces   In this manuscript, we claim that the newly introduced $\mathcal{F}$-metric
spaces are Hausdorff and also first countable. Moreover, we assert that every
separable $\mathcal{F}$-metric space is second countable. Additionally, we
acquire some interesting fixed point results concerning altering distance
functions for contractive-type mappings and Kannan-type contractive mappings in
this exciting context. However, most of the findings are well-furnished by
several non-trivial numerical examples. Finally, we raise an open problem
regarding the metrizability of such kind of spaces.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph