拓撲學及其應用主要涉及發表篇幅適中的原始研究論文。然而，也包括少數精心挑選的調查或說明性論文。該雜志的數學重點是建議的標題:研究拓撲學。有人認為，試圖為本期刊所理解的拓撲學的明確描述是不可取的。當然，這門課程包括拓撲的代數、一般、幾何和集論方面，以及拓撲與其他數學學科(如拓撲代數、拓撲動力學、泛函分析、范疇理論)之間的交互領域。由于拓撲學各方面的作用不斷發生變化，非特定的主題描述反映了拓撲學研究的現狀。

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.