2012ISRN GeometryOpen access

Homotopy Extension Property in Homotopy Theory for Topological Semigroups

Adem Kılıçman, Amin Saif

Open full text 1 citations

Abstract

The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concerning on absolutely retract and its properties.

Open-access reader

About this research paper

What this paper is about

The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concerning on absolutely retract and its properties.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concerning on absolutely retract and its properties.

Key concepts: Cofibration, n-connected, Homotopy, Homotopy lifting property, Mathematics, Homotopy sphere, Regular homotopy, Extension (predicate logic)

Related papers

Back to paper searchBrowse research topicsOriginal source
Homotopy Extension Property in Homotopy Theory for Topological Semigroups — Research Paper | ScholarLens