Detail publikace

Functorial semantics of topological theories

Solovjovs Sergejs

Anglický název

Functorial semantics of topological theories

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

Following the categorical approach to universal algebra through algebraic theories, proposed by F. W. Lawvere in his PhD thesis, this paper aims at introducing a similar setting for general topology. The cornerstone of the new framework is the notion of categorically-algebraic (catalg) topological theory, whose models induce a category of topological structures. We introduce the quasicategory of catalg topological theories and consider its functorial relationships with the quasicategory of the categories of models, in order to provide convenient means for studying topological structures via the properties of their corresponding theories.

Anglický abstrakt

Following the categorical approach to universal algebra through algebraic theories, proposed by F. W. Lawvere in his PhD thesis, this paper aims at introducing a similar setting for general topology. The cornerstone of the new framework is the notion of categorically-algebraic (catalg) topological theory, whose models induce a category of topological structures. We introduce the quasicategory of catalg topological theories and consider its functorial relationships with the quasicategory of the categories of models, in order to provide convenient means for studying topological structures via the properties of their corresponding theories.

Klíčová slova anglicky

Algebra, Algebraic theory, Comma category, Categorically-algebraic topology, Poslat topology, Powerset theory, Topological system, Topological theory, Variety

Rok RIV

2015

Vydáno

01.11.2015

Nakladatel

UNIV SISTAN & BALUCHESTAN

Místo

Iran

ISSN

1735-0654

Ročník

12

Číslo

5

Strany od–do

1–43

Počet stran

42

BIBTEX


@article{BUT126461,
  author="Sergejs {Solovjovs},
  title="Functorial semantics of topological theories",
  year="2015",
  volume="12",
  number="5",
  month="November",
  pages="1--43",
  publisher="UNIV SISTAN & BALUCHESTAN",
  address="Iran",
  issn="1735-0654"
}