Lower homomorphisms on additive generalized algebraic lattices

• Chen, Xueyou ^[1] ; Deng, Zike ^[2]
  1. [1] Shandong University of Technology

     Shandong University of Technology

     China

     
  2. [2] Hunan University

     Hunan University

     China

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 8, Nº. 2, 2007, págs. 301-307
• Idioma: inglés
• DOI: 10.4995/agt.2007.1900
• Enlaces
  • Texto completo
• Resumen

  • In this paper, with the additivity property, the generalized way-below relation and the maximal system of subsets as tools, we prove that all lower homomorphisms between two additive generalized algebraic lattices form an additive generalized algebraic lattice, which yields the classical theorem: the function space between T0-topological spaces is also a T0-topological space with respect to the pointwise convergence topology.

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