Open AccessAscoli’s theorems
Author(s) -
Lech Pasicki
Publication year - 2009
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0163
Subject(s) - mathematics , lemma (botany) , hausdorff space , mathematical proof , simple (philosophy) , pure mathematics , discrete mathematics , calculus (dental) , algebra over a field , geometry , medicine , ecology , philosophy , poaceae , dentistry , epistemology , biology
We present some elegant and pretty general versions of Ascoli theorem for non-Hausdorff spaces. The proofs are simple and elementary (e.g. we do not use the notion of joint continuity) while the results seem to be a very good starting point for more sophisticated theorems. Due to Lemma 10 (it extends [