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REFLECTIVE SUBCATEGORIES, TYCHONOFF SPACES, AND SPECTRAL SPACES
Conference proceeding   Peer reviewed

REFLECTIVE SUBCATEGORIES, TYCHONOFF SPACES, AND SPECTRAL SPACES

Othman Echi, Sami Lazaar and Auburn Univ
TOPOLOGY PROCEEDINGS, VOL 34, Vol.34, pp.307-319
Topology Proceedings-Series
01/01/2009

Abstract

Mathematics Physical Sciences Science & Technology
This paper deals with some reflective subcategories of the category of topological spaces TOP. The class of continuous functions in TOP orthogonal to all Tychonoff spaces is characterized. We also give a characterization of spaces X such that the Tychonoff reflection p(X) is a spectral space.

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