Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949321344> ?p ?o ?g. }
Showing items 1 to 56 of
56
with 100 items per page.
- W2949321344 abstract "We hope to be able (in the future) to carefully analyze this structure and to tie the Jacobian Conjecture in dimension two to certain Zeta functions, thereby invoking a powerful arithmetic machinery to handle the two dimensional Jacobian Conjecture. Let us denote by ${rm et}(mathbb{C}^2)$ the semigroup of two dimensional Keller mappings. We would like to prove something like the following: a) That there exists an infinite index set $I$, and a family of mappings indexed by $I$, ${F_i,|,iin I} subset {rm et}(mathbb{C}^2)$ such that $$ {rm et}(mathbb{C}^2)={rm Aut}(mathbb{C}^2)cupbigcup_{iin I} R_{F_i}({rm et}(mathbb{C}^2)), $$ where if $ine j$ then $R_{F_i}({rm et}(mathbb{C}^2))cap R_{F_j}({rm et}(mathbb{C}^2))=emptyset$. b) That the parallel representation to the representation described in (a) above holds true, this time with respect to the left composition operators $L_{G_j}$. These two claims will be the basis for a fractal structure on ${rm et}(mathbb{C}^2)$ because the pieces $R_{F_i}({rm et}(mathbb{C}^2))$ are similar to each other in the sense that they are homeomorphic, and we further have the scaling property of self-similarity, namely $R_F({rm et}(mathbb{C}^2))$ is homeomorphic to its proper subspace $R_{Gcirc F}({rm et}(mathbb{C}^2))$ that is homeomorphic to its proper subspace $R_{Hcirc Gcirc F}({rm et}(mathbb{C}^2))$ etc . This is the right place to remark that the purpose of the current paper is to start and develop the parallel theory for entire functions in one complex variable. Results in this setting will hint that there are hopes to accomplish the above objective." @default.
- W2949321344 created "2019-06-27" @default.
- W2949321344 creator A5033328697 @default.
- W2949321344 date "2012-10-16" @default.
- W2949321344 modified "2023-09-27" @default.
- W2949321344 title "On the structure of the semigroup of entire 'etale mappings" @default.
- W2949321344 cites W1532541364 @default.
- W2949321344 cites W1974572477 @default.
- W2949321344 cites W2006430780 @default.
- W2949321344 cites W2081461845 @default.
- W2949321344 cites W2475382766 @default.
- W2949321344 hasPublicationYear "2012" @default.
- W2949321344 type Work @default.
- W2949321344 sameAs 2949321344 @default.
- W2949321344 citedByCount "0" @default.
- W2949321344 crossrefType "posted-content" @default.
- W2949321344 hasAuthorship W2949321344A5033328697 @default.
- W2949321344 hasConcept C114614502 @default.
- W2949321344 hasConcept C118615104 @default.
- W2949321344 hasConcept C207405024 @default.
- W2949321344 hasConcept C2780990831 @default.
- W2949321344 hasConcept C33676613 @default.
- W2949321344 hasConcept C33923547 @default.
- W2949321344 hasConceptScore W2949321344C114614502 @default.
- W2949321344 hasConceptScore W2949321344C118615104 @default.
- W2949321344 hasConceptScore W2949321344C207405024 @default.
- W2949321344 hasConceptScore W2949321344C2780990831 @default.
- W2949321344 hasConceptScore W2949321344C33676613 @default.
- W2949321344 hasConceptScore W2949321344C33923547 @default.
- W2949321344 hasLocation W29493213441 @default.
- W2949321344 hasOpenAccess W2949321344 @default.
- W2949321344 hasPrimaryLocation W29493213441 @default.
- W2949321344 hasRelatedWork W1496719766 @default.
- W2949321344 hasRelatedWork W1591023199 @default.
- W2949321344 hasRelatedWork W2004640394 @default.
- W2949321344 hasRelatedWork W2029783238 @default.
- W2949321344 hasRelatedWork W2053416282 @default.
- W2949321344 hasRelatedWork W2063513900 @default.
- W2949321344 hasRelatedWork W2103304004 @default.
- W2949321344 hasRelatedWork W2156900066 @default.
- W2949321344 hasRelatedWork W2160804094 @default.
- W2949321344 hasRelatedWork W2264250463 @default.
- W2949321344 hasRelatedWork W2619020576 @default.
- W2949321344 hasRelatedWork W2748298471 @default.
- W2949321344 hasRelatedWork W2963791211 @default.
- W2949321344 hasRelatedWork W2990192117 @default.
- W2949321344 hasRelatedWork W3016437591 @default.
- W2949321344 hasRelatedWork W3039219694 @default.
- W2949321344 hasRelatedWork W3201898768 @default.
- W2949321344 hasRelatedWork W3214724346 @default.
- W2949321344 hasRelatedWork W42591146 @default.
- W2949321344 hasRelatedWork W771606129 @default.
- W2949321344 isParatext "false" @default.
- W2949321344 isRetracted "false" @default.
- W2949321344 magId "2949321344" @default.
- W2949321344 workType "article" @default.