A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-2-5,
author = {Andrzej Czarnecki},
title = {Cutting description of trivial 1-cohomology},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {181-184},
zbl = {1308.54018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-2-5}
}
Andrzej Czarnecki. Cutting description of trivial 1-cohomology. Annales Polonici Mathematici, Tome 111 (2014) pp. 181-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-2-5/