If I well understand the question, you want someone work on Khalimsky topology. I wish if it is easy :)

But I just find this paper, (just help by what I can) maybe someone need it:

http://www.diva-portal.org/smash/get/diva2:306620/FULLTEXT01.pdf

If you want to prepare a working paper and there is something algebraic, i wish to be a member ;p

Yes why not

Yes, I am interested in Khalimsky topology because I want to be a highly-qualified topologist, so I should learn a lot about everything relevant with topology. However, it takes a lot of time to read all topology papers published by other authors. There are many papers.

We can do work on space set topology  and with relation Khalimsky line topology. Also we can do project of algebraic topology of Khalimsky and SST space dear Eliza it will be a good work

This is a good question with many possible answers.   In addition to the helpful answers already given, there is a bit more to consider, starting with papers available on RG.

In 1990 that a topology on $\mathbb{Z}^2$ convenient for the study of digital images was introduced by Khalimsky, Kopperman and Meyer.   This topology is commonly called Khalimsky topology.   Since its introduction, quite a number of digital topologies have been introduced.   See, for example,

https://www.researchgate.net/publication/238852614_Digital_Jordan_curves

This is an exceptionally well-written paper by Josef Šlapal that includes a thorough consideration of connectedness graphs. 

For closure operations for a digital topology by Josef Šlapal, see

https://www.researchgate.net/publication/257144617_Closure_operations_for_digital_topology

Khalimsky topology is also the focus in

http://www.mathnet.or.kr/mathnet/thesis_file/12_J07-465.pdf

and

http://ocean.kisti.re.kr/downfile/volume/hmsk/HNSHCY/2013/v35n4/HNSHCY_2013_v35n4_707.pdf

Article Digital Jordan curves

Article Closure operations for digital topology

I am interested in it. what is the project?

algebraic topology of Khalimsky and SST space

how to work on this project?

First learn khalimsky topology and space set topology then we can do research and construct homotopy and homolgy groups.. we can do xalculations

can you recommend some papers or material to learn Khalimsky topology 

I am passionate about research and new ideas. It would be great if I could join to your team. Of couse, I donnot have any specific background  on the topic.

u can join to working groups... dear kamran

I want to know the concept of Khalimsky topology. Is there any reference to study? I am interested to study this topology.

Yes, Khalimsky topology is interesting, since it is a proof that general topology is applicable. I would like to learn about state-of-art in this topic. Who is going to give a lecture?? Which problems have been recently solved? Which problems are open?

Dear Cenap,

Do you still have interest in this field of research?

M.S Abdullahi

yes im interested yet

I am interested in the field of digital topology, I currently have research in this area and it is under construction.

can we do collobration dear dr adiya. I will so happy collabrate with u

i would be more than happy to explore new trends of topology, however i have no background experience in this area.