Monotone normality and extension of functions
Stares, Ian
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 563-578 / Harvested from Czech Digital Mathematics Library
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of $K_0$-spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.

Publié le : 1995-01-01
Classification:  54C20,  54D15,  54E50 
@article{118785,
     author = {Ian Stares},
     title = {Monotone normality and extension of functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {563-578},
     zbl = {0882.54012},
     mrnumber = {1364497},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118785}
}

Stares, Ian. Monotone normality and extension of functions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 563-578. http://gdmltest.u-ga.fr/item/118785/

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