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(1)On weakly monotonially monolithi spaes Comment.Math.Univ.Carolin

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On weakly monotonially monolithi spaes

Comment.Math.Univ.Carolin. 51,1 (2010)133{142.

Abstrat: Inthis note, we introdue the onept of weakly monotonially monolithi

spaes, and show thateveryweaklymonotoniallymonolithispaeis aD-spae. Thus

mostknownonlusionsonD-spaesanbeobtainedbythisonlusion. Asaorollary,

wehave thatifa regularspaeX is sequentialandhas apoint-ountablews

-network

thenXis aD-spae.

Keywords: D-spae,sequentialspae, ws

-network, weakly monotoniallymonolithi

spae

AMSSubjetClassiation:Primary54F99; Seondary54G99

Referenes

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Carolin.43.4(2002),653{663.

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[4℄ BurkeD.K.,Weak-baseandD-spae,Comment.Math.Univ.Carolin.48.2(2007),281{289.

[5℄ BuzyakovaR.Z.,HereditaryD-propertyoffuntionspaesoverompata,Pro.Amer.Math.

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PaiJ.Math.81.2(1979),371{377.

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andJ.Vaughan(Eds),North-Holland,Amsterdam,1984,pp.423{501.

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(China)37.6(2008),724{728.

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[18℄ SteenL.A.,SeebahJ.A.,Jr.,CounterexamplesinTopology,seondedition,Springer,New

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参照

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