Open AccessWeak forms of open mappings and α -topology
Author(s) -
Zbigniew Duszyński
Publication year - 2009
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/v10127-009-0001-1
Subject(s) - mathematics , openness to experience , type (biology) , notation , pure mathematics , topology (electrical circuits) , discrete mathematics , combinatorics , arithmetic , social psychology , psychology , ecology , biology
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]:wherefor each x ∊ X. Interrelationships between well-known openness-type properties (a.o.S., w.o., -openness, a.o.W.) for f, f * , f α , f α are studied.