A construction of simplicial objects

Tomáš Crhák

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 1, page 1-21
  • ISSN: 0010-2628

Abstract

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We construct a simplicial locally convex algebra, whose weak dual is the standard cosimplicial topological space. The construction is carried out in a purely categorical way, so that it can be used to construct (co)simplicial objects in a variety of categories --- in particular, the standard cosimplicial topological space can be produced.

How to cite

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Crhák, Tomáš. "A construction of simplicial objects." Commentationes Mathematicae Universitatis Carolinae 42.1 (2001): 1-21. <http://eudml.org/doc/248792>.

@article{Crhák2001,
abstract = {We construct a simplicial locally convex algebra, whose weak dual is the standard cosimplicial topological space. The construction is carried out in a purely categorical way, so that it can be used to construct (co)simplicial objects in a variety of categories --- in particular, the standard cosimplicial topological space can be produced.},
author = {Crhák, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {simplicial object; locally convex algebra; topological space; simplicial object; locally convex algebra; topological space},
language = {eng},
number = {1},
pages = {1-21},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A construction of simplicial objects},
url = {http://eudml.org/doc/248792},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Crhák, Tomáš
TI - A construction of simplicial objects
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 1
SP - 1
EP - 21
AB - We construct a simplicial locally convex algebra, whose weak dual is the standard cosimplicial topological space. The construction is carried out in a purely categorical way, so that it can be used to construct (co)simplicial objects in a variety of categories --- in particular, the standard cosimplicial topological space can be produced.
LA - eng
KW - simplicial object; locally convex algebra; topological space; simplicial object; locally convex algebra; topological space
UR - http://eudml.org/doc/248792
ER -

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