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On the Connection of Degree Theory and 0-epi Maps

✍ Scribed by Martin Väth

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
121 KB
Volume
257
Category
Article
ISSN
0022-247X

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✦ Synopsis

We show that in a large class of continuous operators on Jordan domains the 0-epi maps are precisely those maps with nonzero degree. The class contains in particular perturbations of the identity by countably 1/2-condensing operators. This implies that the example of Z.

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On a Theory for AC0 and the Strength of
On a Theory for AC0 and the Strength of the Induction Scheme
✍ Satoru Kuroda 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB 👁 1 views

We define a fragment of Primitive Recursive Arithmetic by replacing the defining axioms for primitive recursive functions by those for functions in some specific complexity class. In this note we consider such theory for AC'. We present a model-theoretical property of this theory, by means of which