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Crossing over during meiosis results in to exchange of genetic material between members of a homologous pair of chromosomes.
homologous chromosomes exchange alleles during crossing over.
When chromosomes cross over. (Chromal Crossover, I believe)
It's true that crossing over is the exchange of reciprocal DNA parts between homologous chromosomes.
Crossing Over
It's called crossing over, and it generally only happens between homologous chromosomes.
During meiosis, chromosome exchange occurs at the chiasmata, which are points of crossing over between non-sister chromatids. The exchange involves the exchange of genetic material between homologous chromosomes, not specifically at the centromere or telomere regions.
Crossing over or chromosomal crossover.
Crossing over or homologous recombination
Swapping of genetic genetic material is when two chromosomes (maternal and paternal) with the same gene sequence exchange genes, this occurs during Phrophase 1 of meiosis by a process called crossing over. Hope this helps.
It would appear you are speaking of crossing over which takes place in Prophase I of meiosis.
In prophase I the homologous chromosomes pair and form tetrads, during which crossing over occurs and genetic material is exchanged between the homologous chromosomes. Refer to the related link for an animated illustration.