Are two H-spaces homotopy equivalent? An algorithmic view point

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00141435" target="_blank" >RIV/00216224:14310/25:00141435 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1142/S1793525323500437" target="_blank" >https://doi.org/10.1142/S1793525323500437</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S1793525323500437" target="_blank" >10.1142/S1793525323500437</a>

Result language

angličtina

Original language name

Are two H-spaces homotopy equivalent? An algorithmic view point

Original language description

This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite k-type and finite dimension d are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension d. As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Topology and Analysis

ISSN

1793-5253

e-ISSN

1793-7167

Volume of the periodical

17

Issue of the periodical within the volume

04

Country of publishing house

SG - SINGAPORE

Number of pages

34

Pages from-to

1103-1136

UT code for WoS article

001123572300001

EID of the result in the Scopus database

2-s2.0-85179779238