• Corpus ID: 119292295

Gelfand spectra and Wallman compactifications

  title={Gelfand spectra and Wallman compactifications},
  author={Olivia Caramello},
  journal={arXiv: Category Theory},
We carry out a systematic, topos-theoretically inspired, investigation of Wallman compactifications with a particular emphasis on their relations with Gelfand spectra and Stone-Cech compactifications. In addition to proving several specific results about Wallman bases and maximal spectra of distributive lattices, we establish a general framework for functorializing the representation of a topological space as the maximal spectrum of a Wallman base for it, which allows to generate different… 

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  • M. Stone
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1940
The mathematical theory of spectra deals with the characteristic value Vroblem (Eigefnwertproblem) for linear operators, and provides a general unifying treatment for typical instances of the problem

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Contents: Functions of a Topological Space.- Ideals and Z-Filters.- Completely Regular Spaces.- Fixed Ideals. Compact Spaces.- Ordered Residue Class Rings.- The Stone-Czech Compactification.-