Coproducts and the additivity of the Szymczak index

Kinga Stolot

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 3, page 211-226
  • ISSN: 0066-2216

Abstract

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We prove that the index defined by Szymczak in [9] has an additivity property. Moreover we give an abstract theorem for extending coproducts from an initial category to the Szymczak category, which provides a setting for the proof of additivity.

How to cite

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Kinga Stolot. "Coproducts and the additivity of the Szymczak index." Annales Polonici Mathematici 85.3 (2005): 211-226. <http://eudml.org/doc/280262>.

@article{KingaStolot2005,
abstract = {We prove that the index defined by Szymczak in [9] has an additivity property. Moreover we give an abstract theorem for extending coproducts from an initial category to the Szymczak category, which provides a setting for the proof of additivity.},
author = {Kinga Stolot},
journal = {Annales Polonici Mathematici},
keywords = {discrete dynamical system; invariant set; index pair; Szymczak index; category with coproducts},
language = {eng},
number = {3},
pages = {211-226},
title = {Coproducts and the additivity of the Szymczak index},
url = {http://eudml.org/doc/280262},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Kinga Stolot
TI - Coproducts and the additivity of the Szymczak index
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 3
SP - 211
EP - 226
AB - We prove that the index defined by Szymczak in [9] has an additivity property. Moreover we give an abstract theorem for extending coproducts from an initial category to the Szymczak category, which provides a setting for the proof of additivity.
LA - eng
KW - discrete dynamical system; invariant set; index pair; Szymczak index; category with coproducts
UR - http://eudml.org/doc/280262
ER -

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