In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.

background : the aim of this study was to generate in silico 3d-structure of the envelope protein of ahfv using homology modeling method to further predict its conformational epitopes and help other studies to investigate its structural features using the model. methods : a 3d-structure prediction was developed for the envelope protein of alkhumra haemorrhagic fever virus (ahfv), an emerging ti...

in this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. we present sufficient conditions for the existence of long exact extended d- homology sequence. also we give some illustrative examples.

The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...

We investigate the relative cohomology and relative homology theories of $F$-Gorenstein modules, consider the relations between classical and $F$-Gorenstein (co)homology theories.

We propose a novel model of street network connectivity which uses method from the field applied topology called “persistent homology”. The output this is pair density functions relative strength and frequency connected components cycles in network. In context, function type, such as motorway or residential, with more significant types providing greater connectivity. are easily interpreted prov...