<abstract xmlns="http://www.w3.org/1999/xhtml">The following notations associated with a mapping <italic>f : (X, τ) → (Y, σ)</italic> have been introduced in [D. S. Janković: <italic>A note on mappings of extremely disconnected spaces</italic>, Acta Math. Hungar. (1985), 83-92]: <disp-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-009-0001-1#0001_graphic1.png"></inline-graphic></disp-formula> where <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-009-0001-1#0001_graphic2.png"></inline-graphic></inline-formula> for each <italic>x ∊ X.</italic> Interrelationships between well-known openness-type properties (a.o.S., w.o., -openness, a.o.W.) for <italic>f, f*, fα, fα</italic> are studied. </abstract>

The following notations associated with a mapping   f : (X, τ) → (Y, σ) have been introduced in [D. S. Janković: A note on mappings of extremely disconnected spaces, Acta Math. Hungar.  (1985), 83-92]:   where  for each x ∊ X. Interrelationships between well-known openness-type properties (a.o.S., w.o.,   -openness, a.o.W.) for f, f*, fα, fα are studied.

Weak forms of open mappings and α -topology

Institute of Mathematics Casimirus the Great University pl. Weyssenhoffa 11, 85-072 Bydgoszcz Poland

Tatra Mountains Mathematical Publications

{"article-title":"Weak forms of open mappings and α -topology"}

The following notations associated with a mapping   f : (X, τ) → (Y, σ) have been introduced in [D. S. Janković: A note on mappings of extremely disconnected...

Weak forms of open mappings and α -topology

Published Online: Nov 12, 2012

Page range: 1 - 10

DOI: https://doi.org/10.2478/v10127-009-0001-1

This content is open access.