Algebraic general topology
Algebraic general topology is a research project (and a free book) started by Victor Porton's.
We will stick to the notation of the book, such as denoting binary join and meets as $\sqcap$ and $\sqcup$. However, we will denote arbitrary joins and meets as $\bigvee$ and $\bigwedge$ (due markup limitations of our wiki engine).
See Category:Algebraic general topology for research projects related with algebraic general topology.