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@article{2368962,
author = {Šimková, Mária},
doi = {http://dx.doi.org/10.1142/S1793525323500437},
keywords = {Postnikov tower; Postnikov invariants; effective homological framework; algorithmic computation; homotopy equivalence problem; spaces of finite k-type; H -spaces},
language = {eng},
issn = {1793-5253},
journal = {Journal of Topology and Analysis},
title = {Are two H-spaces homotopy equivalent? An algorithmic view point},
url = {https://www.worldscientific.com/doi/10.1142/S1793525323500437},
year = {2023}
}
TY - JOUR
ID - 2368962
AU - Šimková, Mária
PY - 2023
TI - Are two H-spaces homotopy equivalent? An algorithmic view point
JF - Journal of Topology and Analysis
PB - World Scientific Publishing Co Pte Ltd
SN - 17935253
KW - Postnikov tower
KW - Postnikov invariants
KW - effective homological framework
KW - algorithmic computation
KW - homotopy equivalence problem
KW - spaces of finite k-type
KW - H -spaces
UR - https://www.worldscientific.com/doi/10.1142/S1793525323500437
N2 - 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.
ER -
ŠIMKOVÁ, Mária. Are two H-spaces homotopy equivalent? An algorithmic view point. \textit{Journal of Topology and Analysis}. World Scientific Publishing Co Pte Ltd, 2023. ISSN~1793-5253. Dostupné z: https://dx.doi.org/10.1142/S1793525323500437.
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