Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology.

拓?fù)鋵W(xué)及其應(yīng)用主要涉及發(fā)表篇幅適中的原始研究論文。然而，也包括少數(shù)精心挑選的調(diào)查或說(shuō)明性論文。該雜志的數(shù)學(xué)重點(diǎn)是建議的標(biāo)題:研究拓?fù)鋵W(xué)。有人認(rèn)為，試圖為本期刊所理解的拓?fù)鋵W(xué)的明確描述是不可取的。當(dāng)然，這門課程包括拓?fù)涞拇鷶?shù)、一般、幾何和集論方面，以及拓?fù)渑c其他數(shù)學(xué)學(xué)科(如拓?fù)浯鷶?shù)、拓?fù)鋭?dòng)力學(xué)、泛函分析、范疇理論)之間的交互領(lǐng)域。由于拓?fù)鋵W(xué)各方面的作用不斷發(fā)生變化，非特定的主題描述反映了拓?fù)鋵W(xué)研究的現(xiàn)狀。