Without examining the cat in person it is very hard to tell you exactly what is going on. Trauma can cause abrasions or scrapes along the nose. Self-trauma is also possible. If this is an indoor/outdoor cat it may have gotten into a fight with another cat or another animal. Foreign bodies are also possible--cactus spines etc can get lodged under the skin. Bacterial or fungal infections are possible. Cats can also get a type of erosion called a rodent ulcer that affects the oral cavity, lips, and sometimes nose. Dermal parasites are possible--mites or ringworm.
Your veterinarian will be your best resource to determine what this lesion is. Keep it clean and dry with warm water and a mild anti-bacterial soap; do not use hydrogen peroxide. Keep your cat from rubbing it's face and keeping this wound open.
Your veterinarian will be your best resource to determine what this lesion is. Keep it clean and dry with warm water and a mild anti-bacterial soap; do not use hydrogen peroxide. Keep your cat from rubbing it's face and keeping this wound open.