English

Extensions of dualities and a new approach to the Fedorchuk duality

General Topology 2019-06-14 v3 Category Theory

Abstract

Applying a general categorical construction for the extension of dualities, we present a new proof of the Fedorchuk duality between the category of compact Hausdorff spaces with their quasi-open mappings and the category of complete normal contact algebras with suprema-preserving Boolean homomorphisms which reflect the contact relation.

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Cite

@article{arxiv.1808.06168,
  title  = {Extensions of dualities and a new approach to the Fedorchuk duality},
  author = {G. Dimov and E. Ivanova-Dimova and W. Tholen},
  journal= {arXiv preprint arXiv:1808.06168},
  year   = {2019}
}

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35 pages