Connectedness in Categories with a Terminal Object

  • Gabriele Castellini
Part of the Mathematics: Theory & Applications book series (MTA)


In this chapter we show that by adding some mild assumptions that revolve around the existence of a terminal object, most of the classical properties of topological connectedness hold in our more general setting. Moreover, some interesting characterizations of the notions of (C, N-connected and (C, N)-disconnected objects introduced in the previous chapter, can be given.


Commutative Diagram Closure Operator Universal Property Surjective Homomorphism Torsion Theory 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Gabriele Castellini
    • 1
  1. 1.Department of Mathematics MayaguezUniversity of Puerto RicoPuerto RicoUSA

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