English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Notion of acyclic models are introduced in Eleinberg-Maclane [4]. In [5] and [3], this theory is used as auxiliary tools to solve extension problems of morphisms of chains complexes and homotopy between those morphisms. So in the first section of this work, we will adapt the notion of acyclic models in the category of Banach chain differential complexes Ch∗(Ban). In the second section, we recall the functor of real c1singular homology (cf. [8]) on which we apply theorems proved in the first section. In particular, we prove an analogous of Zilber-Eilenberg theorem [5] in real c1-singular homology. In last section, we prove an analogous of Brown theorem in real c1-singular homology. As consequence of this theorem we show that the real c1-singular homology depends only on the fundamental group and we establish some exact sequences.

THÉORÈMES DE ZILBER-EILEMBERG ET DE BROWN EN HOMOLOGIE l1