An expandable intervertebral implant insertable into an intervertebral disc space and expandable from an initial position to an expanded position, wherein the expandable intervertebral implant comprises: a linkage that includes a plurality of links connected in a longitudinal direction, wherein each link comprises: an outer sleeve including a first outer sleeve portion and a second outer sleeve portion that is movable with respect to the first outer sleeve portion in a transverse direction that is substantially perpendicular to the longitudinal direction, wherein each of the outer sleeve portions (30A, 30B) defines an engagement surface that is sloped with respect to the longitudinal direction; and an inner core presenting engagement surfaces that are sloped with respect to the longitudinal direction, wherein the engagement surfaces of the inner core abut the engagement surfaces of the outer sleeve portions (30A, 30B), such that relative movement of the inner core with respect to the outer sleeve member causes the engagement surfaces of the outer sleeve portions (30A, 30B) to ride along the engagement surfaces of the inner core, thereby causing the outer sleeve portions (30A, 30B) to deflect vertically away from each other to the expanded position that is different than a first vertical position and wherein adjacent links are attached to each other at a coupling location using a flexible coupling member wherein a coupling member of the first outer sleeve portion of one of the plurality of links is attached to a corresponding flexible coupling member of the first outer sleeve portion of an adjacent one of the plurality of links; and wherein a coupling member of the second outer sleeve portion of one of the plurality of links is attached to a corresponding flexible coupling member of the second outer sleeve portion of an adjacent one of the plurality of links. a linkage that includes a plurality of links connected in a longitudinal direction, wherein each link comprises: an outer sleeve including a first outer sleeve portion and a second outer sleeve portion that is movable with respect to the first outer sleeve portion in a transverse direction that is substantially perpendicular to the longitudinal direction, wherein each of the outer sleeve portions (30A, 30B) defines an engagement surface that is sloped with respect to the longitudinal direction; and an inner core presenting engagement surfaces that are sloped with respect to the longitudinal direction, wherein the engagement surfaces of the inner core abut the engagement surfaces of the outer sleeve portions (30A, 30B), such that relative movement of the inner core with respect to the outer sleeve member causes the engagement surfaces of the outer sleeve portions (30A, 30B) to ride along the engagement surfaces of the inner core, thereby causing the outer sleeve portions (30A, 30B) to deflect vertically away from each other to the expanded position that is different than a first vertical position and wherein adjacent links are attached to each other at a coupling location using a flexible coupling member an outer sleeve including a first outer sleeve portion and a second outer sleeve portion that is movable with respect to the first outer sleeve portion in a transverse direction that is substantially perpendicular to the longitudinal direction, wherein each of the outer sleeve portions (30A, 30B) defines an engagement surface that is sloped with respect to the longitudinal direction; and an inner core presenting engagement surfaces that are sloped with respect to the longitudinal direction, wherein the engagement surfaces of the inner core abut the engagement surfaces of the outer sleeve portions (30A, 30B), such that relative movement of the inner core with respect to the outer sleeve member causes the engagement surfaces of the outer sleeve portions (30A, 30B) to ride along the engagement surfaces of the inner core, thereby causing the outer sleeve portions (30A, 30B) to deflect vertically away from each other to the expanded position that is different than a first vertical position and wherein adjacent links are attached to each other at a coupling location using a flexible coupling member wherein a coupling member of the first outer sleeve portion of one of the plurality of links is attached to a corresponding flexible coupling member of the first outer sleeve portion of an adjacent one of the plurality of links; and wherein a coupling member of the second outer sleeve portion of one of the plurality of links is attached to a corresponding flexible coupling member of the second outer sleeve portion of an adjacent one of the plurality of links.