TL;DR
This paper introduces the concept of flasque meadows, inspired by flasque sheaves, as a class of algebraic structures with surjective transition maps, exploring their properties through examples and counterexamples.
Contribution
It defines flasque meadows and investigates their properties, providing the first formal study of this new algebraic concept.
Findings
Flasque meadows have surjective transition maps.
Examples and counterexamples illustrate properties.
The paper establishes foundational results for flasque meadows.
Abstract
In analogy with flasque sheaves, we introduce the notion of flasque meadow as a common meadow where the transition maps are all surjective. We study some properties of flasque meadows and illustrate them with many examples and counterexamples.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Rings, Modules, and Algebras