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Weak forms of open mappings and $α$-topology

In: Tatra Mountains Mathematical Publications, vol. 42, no. 1
Zbigniew Duszyński
Detaily:
Rok, strany: 2009, 1 - 10
Kľúčové slová:
regular open, $\alpha$-open, semi-open, preopen
O článku:
The following notations associated with a mapping $f\colon(X,τ)\to (Y,σ)$ have been introduced in [D. S. Jankovi\'c: \textit{A note on mappings of extremally disconnected spaces}, Acta Math. Hungar. {\bf46} (1985), 83–92]:

$$ f*\colon(X,τα)\to(Y,σα),   fα\colon(X,τα)\to(Y,σ),   fα\colon(X,τ)\to(Y,σα), $$

where $f*(x)=fα(x)=fα(x)=f(x)$ for each $x\in X$. Interrelationships between well-known openness-type properties (a.o.S., w.o., $α$-openness, a.o.W.) for $f,f*,fα,fα$ are studied.
Ako citovať:
ISO 690:
Duszyński, Z. 2009. Weak forms of open mappings and $α$-topology. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 1-10. 1210-3195.

APA:
Duszyński, Z. (2009). Weak forms of open mappings and $α$-topology. Tatra Mountains Mathematical Publications, 42(1), 1-10. 1210-3195.