In: Mathematica Slovaca, vol. 65, no. 2
Jorge Picado - Aleš Pultr
Details:
Year, pages: 2015, 247 - 264
Keywords:
frame, locale, spatial frame, spectrum, meet-semilattice, sup-lattice, tensor product, frame coproduct, localic product, free construction, paracompact locale, localic group
About article:
Products of locales (generalized spaces) are coproducts of frames. Because of the algebraic nature of the latter they are often viewed as algebraic objects without much topological connotation. In this paper we first analyze the frame construction emphasizing its tensor product carrier. Then we show how it can be viewed topologically, that is, in the sum-of-the-open-rectangles perspective. The main aim is to present the product from different points of view, as an algebraic and a geometric object, and persuade the reader that both of them are fairly transparent.
How to cite:
ISO 690:
Picado, J., Pultr, A. 2015. Notes on the product of locales. In Mathematica Slovaca, vol. 65, no.2, pp. 247-264. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0020
APA:
Picado, J., Pultr, A. (2015). Notes on the product of locales. Mathematica Slovaca, 65(2), 247-264. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0020
About edition: