TY - JOUR
ID - 521
TI - On the category of geometric spaces and the category of (geometric) hypergroups
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Jafarpour, Morteza
AU - Mousavi, Seyed Shahin
AD - fACULTY OF MATHEMATICS
AD - Faculty of Math.
Y1 - 2014
PY - 2014
VL - 40
IS - 3
SP - 639
EP - 655
KW - Geometric hypergroups
KW - $H_{v}$-groups
KW - geometric spaces
KW - topological categories
DO -
N2 - In this paper first we define the morphism between geometric spaces in two different types. We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories, for instance $uu$ is topological. The relation between hypergroups and geometric spaces is studied. By constructing the category $qh$ of $H_{v}$-groups we answer the question that which construction of hyperstructures on the category of sets has free object in the sense of universal property. At the end we define the category of geometric hypergroups and we study its relation with the category of hypergroup.
UR - http://bims.iranjournals.ir/article_521.html
L1 - http://bims.iranjournals.ir/article_521_009238c4d65b14d487336590f1f19d41.pdf
ER -