Publication detail

Functorial semantics of topological theories

Solovjovs Sergejs

Original Title

Functorial semantics of topological theories

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

Solovjovs Sergejs

RIV year

2015

Released

1. 11. 2015

Publisher

UNIV SISTAN & BALUCHESTAN

Location

Iran

ISBN

1735-0654

Periodical

IRANIAN JOURNAL OF FUZZY SYSTEMS

Year of study

12

Number

5

State

Islamic Republic of Iran

Pages from

1

Pages to

43

Pages count

42

BibTex

@article{BUT126461,
  author="Sergejs {Solovjovs}",
  title="Functorial semantics of topological theories",
  journal="IRANIAN JOURNAL OF FUZZY SYSTEMS",
  year="2015",
  volume="12",
  number="5",
  pages="1--43",
  issn="1735-0654"
}