International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 101-104
doi:10.1155/S0161171297000148

A note on connectedness in Cartesian closed categories

Abstract

Primaxily working in the category of limit spaces and continuous maps we suggest a new concept of connectivity with application in all categories where function space objects satisfy natural exponential laws. In a separate Appendix we motivate the development of a homotopy theory for spaces of real-valued continuous maps endowed with the structure of continuous convergence.