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STRATIFIED <i>L</i>-UNIFORM CONVERGENCE SPACES
Abstract
Abstract. We define a supercategory of the category of stratified L-uniform spaces, where L is a complete Heyting algebra. Our category is topological over SET and cartesian closed. In the case where L is the two-point chain, it coincides with the category of uniform convergence spaces. Moreover, we describe the induced stratified L-convergence and show that in case of a stratified L-uniform space this L-convergence is a stratified L-topology.
Mathematics Subject Classification (2000): 54A40.
Quaestiones Mathematicae 28(2005), 11–36.
Mathematics Subject Classification (2000): 54A40.
Quaestiones Mathematicae 28(2005), 11–36.
