Recently, shape-memory polymers (SMPs) with multi-response capacity and multi-functionality have become increasingly desired. Although these features can be achieved by integrating different functional units into one system, reaching this goal in materials with a minimalist structure remains a major challenge. In this work, a multi-responsive shape-memory pyrene-containing poly(e-caprolactone) network was developed by simple combination with single-walled carbon nanotubes (SWCNTs) as a one-dimensional, infinite-functional crosslinker. π-π Stacking between the SWCNTs and pyrene group formed stable netpoints and led to desirable shape-memory effects (SMEs). The pyrene group is highly beneficial for dispersing the SWCNTs, allowing the formation of an electrically conductive network with low loading capacity. Thus, thermo-, electro-, and photo-induced SMEs were realized by virtue of the excellent electrical conductivity and photothermal effect of the SWCNTs. The self-healing capacity of the network was also demonstrated by exploiting the dynamic π-π stacking interactions.