Cakalli, H.Khan, M. K.2024-07-122024-07-1220110893-965910.1016/j.aml.2010.10.0212-s2.0-78649991658https://dx.doi.org/10.1016/j.aml.2010.10.021https://hdl.handle.net/20.500.12415/7783The main purpose of the paper is to introduce the notion of summability in abstract Hausdorff topological spaces. We give a characterization of such summability methods when the space allows a countable base. We also provide several Tauberian theorems in topological structures. Some open problems are discussed. (C) 2010 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessSequencesSeriesSummabilityTopological spacesTauberian theoremsArticle3523Q134824WOS:000285659800022Q1