{"doi":"10.12775/tmna.1999.025","title":"Fixed point indices of equivariant maps of certain Jiang spaces","abstract":null,"journal":"Topological Methods in Nonlinear Analysis","year":1999,"id":633874,"datarank":0.10397207708399181,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"self_citation_contribution":0.10397207708399181,"citation_network_contribution":0.0,"self_endowment_contribution":0.10397207708399181,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1643642,"name":"Daciberg L. Gonçalves","orcid":null,"position":1,"is_corresponding":false},{"id":1643641,"name":"Pedro L. Fagundes","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Fixed point indices of equivariant maps of certain Jiang spaces","abstract":"Given $X$ a Jiang space we know that all Nielsen classes have the same index. Now let us consider $X$ a $G$-space where $G$ is a finite group which acts freely on $X$. In [P. Wong, < i> Equivariant Nielsen numbers< /i> , Pacific J. Math. < b> l59< /b> (1993), 153–175], we do have the notion of $X$ to be an equivariant Jiang space and under this condition it is true that all equivariant Nielsen classes have the same index. We study the question if the weaker condition of $X$ being just a Jiang space is sufficient for all equivariant Nielsen classes to have the same index. We show a family of spaces where all equivariant Nielsen classes have the same index. In many cases the spaces of such a family are not equivariant Jiang spaces. Finally, we also show an example of one Jiang space together with equivariant maps where the equivariant Nielsen classes have different indices.","is_dataset_classified":null,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19767382","pmcid":null,"openalex_id":"https://openalex.org/W2548611373","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.38971648,"influential_citations":0,"citation_trend":[],"oa_status":"bronze","license":null,"oa_locations":[{"url":"https://apcz.umk.pl/TMNA/article/view/TMNA.1999.025/10028","host_type":"journal"},{"url":"https://apcz.umk.pl/TMNA/article/view/TMNA.1999.025/10028","host_type":"publisher"},{"url":"http://apcz.pl/czasopisma/index.php/TMNA/article/viewFile/10984/10028","host_type":"publisher"},{"url":"https://doi.org/10.12775/tmna.1999.025","host_type":"journal"},{"url":"http://projecteuclid.org/euclid.tmna/1475179425","host_type":"repository"}],"fields_of_study":["Advanced Topics in Algebra","Finite Group Theory Research","Homotopy and Cohomology in Algebraic Topology"],"mesh_terms":[],"keywords":["Equivariant map","Mathematics","Space (punctuation)","Pure mathematics","Combinatorics","Group (periodic table)","Index (typography)","Equivariant cohomology","Fixed point","Discrete mathematics","Mathematical analysis","Computer science"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-06T12:48:52.916192Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}