English

Preimage Cardinalities of Continuous Functions

Combinatorics 2020-06-29 v2 General Topology

Abstract

We find all subsets of N\mathbb{N} which occur as the set of possible cardinalities of preimages of a continuous function. We also study and answer this question for various subclasses of continuous functions.

Keywords

Cite

@article{arxiv.2006.07946,
  title  = {Preimage Cardinalities of Continuous Functions},
  author = {Seljon Akhmedli},
  journal= {arXiv preprint arXiv:2006.07946},
  year   = {2020}
}

Comments

4 figures (another figure added)

R2 v1 2026-06-23T16:18:51.402Z