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A note on connectedness in cartesian closed categories

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  • Reino Vainio

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.

Suggested Citation

  • Reino Vainio, 1997. "A note on connectedness in cartesian closed categories," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:726858
    DOI: 10.1155/S0161171297000148
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