About the Authors

David I. Spivak

dspivak@math.mit.edu

Affiliation Mathematics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts, United States of America

Robert E. Kent

Affiliation Ontologos, Pullman, Washington, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Wrote the paper: DIS REK. Invented Ologs: DIS. Wrote sections 1,2,3,5,6,7: DIS. Wrote section 4: REK.