A note on coclones of topological spaces
Commentationes Mathematicae Universitatis Carolinae (2011)
- Volume: 52, Issue: 3, page 403-416
- ISSN: 0010-2628
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topBarkhudaryan, Artur. "A note on coclones of topological spaces." Commentationes Mathematicae Universitatis Carolinae 52.3 (2011): 403-416. <http://eudml.org/doc/246483>.
@article{Barkhudaryan2011,
abstract = {The clone of a topological space is known to have a strictly more expressive first-order language than that of the monoid of continuous self-maps. The current paper studies coclones of topological spaces (i.e. clones in the category dual to that of topological spaces and continuous maps) and proves that, in contrast to clones, the first-order properties of coclones cannot express anything more than those of the monoid, except for the case of discrete and indiscrete spaces.},
author = {Barkhudaryan, Artur},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {clone; coclone; monoid of continuous self-maps; clone theory; monoid theory; clone; coclone; monoid of continuous self-maps; clone theory; monoid theory},
language = {eng},
number = {3},
pages = {403-416},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on coclones of topological spaces},
url = {http://eudml.org/doc/246483},
volume = {52},
year = {2011},
}
TY - JOUR
AU - Barkhudaryan, Artur
TI - A note on coclones of topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 3
SP - 403
EP - 416
AB - The clone of a topological space is known to have a strictly more expressive first-order language than that of the monoid of continuous self-maps. The current paper studies coclones of topological spaces (i.e. clones in the category dual to that of topological spaces and continuous maps) and proves that, in contrast to clones, the first-order properties of coclones cannot express anything more than those of the monoid, except for the case of discrete and indiscrete spaces.
LA - eng
KW - clone; coclone; monoid of continuous self-maps; clone theory; monoid theory; clone; coclone; monoid of continuous self-maps; clone theory; monoid theory
UR - http://eudml.org/doc/246483
ER -
References
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