Related papers: Nowhere Holomorphic Mappings

We prove that there is a one-to-one, bounded, holomorphic function on a region $\Omega$ iff $S^{2} - \Omega$ is not totally disconnected. This paper has been withdrawn by the author since Theorem 3 is incorrect.

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This paper has been withdrawn by the author due to some errors.

The paper has been withdrawn.

This paper has been withdrawn by the author, due to a counter example to step 6.2 indicated by K. Karu.

This work is a comparative study between the existence of fixed point for homomorphisms in a class of binary relationnal systems and the existence of fixed point for nonexpansive mappings in semimetric spaces.

This paper has been withdrawn by the author because it needs to be rewritten completely.

This paper has been withdrawn by the author(s), due to the requirement of the journal it currently submitted to

This paper contains a selection, dictated by personal taste and by no means complete, of open problems in local discrete holomorphic dynamics.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author

The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.

This paper has been withdrawn by the author(s), due an error in the proof.

This paper has been withdrawn by the author due to a crucial error

This paper has been withdrawn.

This article has been removed by arXiv administrators due to falsified authorship.

This paper is withdrawn. We found a mistake in Lemma 4.1

Major mistake. The paper has been withdrawn.

This paper has been withdrawn by the author because there is a gap in Lemma 9.

We explain the coarse geometric origin of the fact that certain spectral subspaces of topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an orthonormal basis of localized wavefunctions, with respect to…