  We propose a method to identify jets consisting of all the visible remnants
of boosted top particles when these decay semileptonically to electrons. Within
these jets, the electron shower overlaps with the shower initiated by the $b$
quark, which makes the identification of the electron hard. Even if an electron
inside a jet is identified, it is difficult to pinpoint whether the electron
rich jet is indeed due to top quark decay or not, since the invisible neutrino
carries away a nontrivial part of the energy-momentum of the original top
quark. Broadly speaking, the method proposed here has three key components. It
uses the distribution of energy in various parts of the detector to identify
whether the observed jet is consistent with a jet containing an energetic
electron. It uses the substructure of the jet to determine the momentum
associated with the electron. Finally, it constructs new variables that carry
tell-tale features of top quark decay kinematics using an extra ansatz that,
there exists a massless invisible four-momentum \emph{roughly} collimated to
the electron, which reconstructs a $W$ and a top when it is combined with the
electron and the full jet respectively. We demonstrate the efficacy of this
proposal using simulated data and show that our method not only reduces the
backgrounds from light flavor jets, $b$ jets from QCD, and hadronic top jets,
it can also tell apart jets rich in electrons but not due to top quark decays.
