This paper studies injectivity for continuous maps between T0-spaces. The new characterizations obtained establish a parallelism between characterizations of injective monotone maps between ordered sets and of injective continuous maps between T0-spaces.
Fibrewise injectivity in order and topology / C. F., C. M. M., S. Mantovani. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 200(2016 Mar), pp. 61-78. ((Intervento presentato al convegno Workshop: Aspects of Contemporary Topology V [10.1016/j.topol.2015.12.013].
Fibrewise injectivity in order and topology
S. Mantovani
2016
Abstract
This paper studies injectivity for continuous maps between T0-spaces. The new characterizations obtained establish a parallelism between characterizations of injective monotone maps between ordered sets and of injective continuous maps between T0-spaces.
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