topology (study of geometric properties that are not changed by stretching etc.)

(mathematics) topology

specialist; expert

geometry

(sciences) phase / (mathematics) topology

speciality/specialty; subject of study; subject of expertise; area of interest; profession

he / distal demonstrative, something far off removed from both speaker and listener: that / boyfriend

distal demonstrative, something far off removed from both speaker and listener: that, yon / particularly, male personal third person pronoun: he / by extension from he: boyfriend

he; boyfriend

a house / one's own home / a home, household / a family