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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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