Welcome to the Math Research Trends WikiEdit

This wiki is to contain research trends and ideas (in the field of mathematics), it also to contain open problems in context of the research (how solved open problems would be used in context of the research) and partial proofs and proof attempts.

Describe your topicEdit

You should not just add open problems here, as it is better suited to use Open Problem Garden for this purpose. You should add conjectures in context of a research (how a conjecture can be useful for future research, et cetera).

You may also add vague (not rigorously formulated) problems and research fragments to this wiki.

The motto of this wiki is "a research in the middle" that is you put there intermediary results and aspirations of your research.

Comparison with Polymath projectEdit

This project is a dual of Polymath project:

• Polymath is for precisely formulated problems, this wiki is not only for precise formulations but also for rough ideas.
• Polymath is for problems of interest to wide variety of mathematicians, this wiki is for more special problems which may involve additional learning before joining projects presented on this site.
• Polymath develops primarely on blogs and then in the wiki, this project is meant to be developed inside this wiki (don't hesitate to use blogs if you want, however).
• Polymath project comes in waves focusing on particular problems. This site is to present as much problems as possible, simultaneously.

This project is similar to Polymath project in the respect that these both are for massively collaborated math research.

TopicsEdit

• Cartesian closed categories containing Top and Prox as subcategories
• Products of funcoids
• Compact funcoids
• Is every regular paratopological group Tychonoff?

Latest activityEdit