The shapes in a concrete category

@inproceedings{Uglei2016TheSI,
  title={The shapes in a concrete category},
  author={Nikica Ugle{\vs}i{\'c}},
  year={2016}
}
We show under what conditions, and how, one can obtain a shape theory (various shape theories) in a concrete category. The technique is, roughly speaking, reduced to the quotients by congruences providing the objects of lower cardinalities. The application yields the new (coarser) classifications in every concrete category which admits sufficiently many non-trivial quotients. Thus, the ordering, (ultra)pseudometric, uniform and topological structures, as well as many algebraic and mixed (multi… CONTINUE READING

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