Title

Convergence Semigroup Categories

Keywords

Categorical properties; Continuous action; Convergence semigroup; Convergence space

Abstract

Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A "generalized quotient" of each object is defined without making the usual assumption that for each fixed g ∈ S, λ(., g): X → X is an injection. © Universidad Politécnica de Valencia.

Publication Date

1-1-2010

Publication Title

Applied General Topology

Volume

11

Issue

2

Number of Pages

67-88

Document Type

Article

Personal Identifier

scopus

Socpus ID

78751509622 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78751509622

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