Logitech manufactures a full range of wireless mice; some of them may be used in GNU/Linux via the included Wireless Unifying Receiver, that also accomodates other devices such as wireless keyboards. Mice that are supported in GNU/Linux are advertided as such on the package itself.

lsusb

Bus 003 Device 078: ID 046d:c52b Logitech, Inc. Unifying Receiver

lsusb -v

Bus 003 Device 078: ID 046d:c52b Logitech, Inc. Unifying Receiver
Device Descriptor:
  bLength                18
  bDescriptorType         1
  bcdUSB               2.00
  bDeviceClass            0 (Defined at Interface level)
  bDeviceSubClass         0 
  bDeviceProtocol         0 
  bMaxPacketSize0        32
  idVendor           0x046d Logitech, Inc.
  idProduct          0xc52b Unifying Receiver
  bcdDevice           24.00
  iManufacturer           1 Logitech
  iProduct                2 USB Receiver
  iSerial                 0 
  bNumConfigurations      1
  Configuration Descriptor:
    bLength                 9
    bDescriptorType         2
    wTotalLength           84
    bNumInterfaces          3
    bConfigurationValue     1
    iConfiguration          4 RQR24.00_B0018
    bmAttributes         0xa0
      (Bus Powered)
      Remote Wakeup
    MaxPower               98mA
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        0
      bAlternateSetting       0
      bNumEndpoints           1
      bInterfaceClass         3 Human Interface Device
      bInterfaceSubClass      1 Boot Interface Subclass
      bInterfaceProtocol      1 Keyboard
      iInterface              0 
        HID Device Descriptor:
          bLength                 9
          bDescriptorType        33
          bcdHID               1.11
          bCountryCode            0 Not supported
          bNumDescriptors         1
          bDescriptorType        34 Report
          wDescriptorLength      59
         Report Descriptors: 
           ** UNAVAILABLE **
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x81  EP 1 IN
        bmAttributes            3
          Transfer Type            Interrupt
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0008  1x 8 bytes
        bInterval               8
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        1
      bAlternateSetting       0
      bNumEndpoints           1
      bInterfaceClass         3 Human Interface Device
      bInterfaceSubClass      1 Boot Interface Subclass
      bInterfaceProtocol      2 Mouse
      iInterface              0 
        HID Device Descriptor:
          bLength                 9
          bDescriptorType        33
          bcdHID               1.11
          bCountryCode            0 Not supported
          bNumDescriptors         1
          bDescriptorType        34 Report
          wDescriptorLength     148
         Report Descriptors: 
           ** UNAVAILABLE **
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x82  EP 2 IN
        bmAttributes            3
          Transfer Type            Interrupt
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0008  1x 8 bytes
        bInterval               2
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        2
      bAlternateSetting       0
      bNumEndpoints           1
      bInterfaceClass         3 Human Interface Device
      bInterfaceSubClass      0 No Subclass
      bInterfaceProtocol      0 None
      iInterface              0 
        HID Device Descriptor:
          bLength                 9
          bDescriptorType        33
          bcdHID               1.11
          bCountryCode            0 Not supported
          bNumDescriptors         1
          bDescriptorType        34 Report
          wDescriptorLength      98
         Report Descriptors: 
           ** UNAVAILABLE **
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x83  EP 3 IN
        bmAttributes            3
          Transfer Type            Interrupt
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0020  1x 32 bytes
        bInterval               2
Device Status:     0x0000
  (Bus Powered)

dmesg

[144778.649419] usb 3-2: new full-speed USB device number 78 using xhci_hcd
[144778.816720] usb 3-2: New USB device found, idVendor=046d, idProduct=c52b
[144778.816725] usb 3-2: New USB device strings: Mfr=1, Product=2, SerialNumber=0
[144778.816727] usb 3-2: Product: USB Receiver
[144778.816729] usb 3-2: Manufacturer: Logitech
[144778.826690] logitech-djreceiver 0003:046D:C52B.000A: hiddev0,hidraw0: USB HID v1.11 Device [Logitech USB Receiver] on usb-0000:00:14.0-2/input2
[144778.878759] input: Logitech Unifying Device. Wireless PID:4017 as /devices/pci0000:00/0000:00:14.0/usb3/3-2/3-2:1.2/0003:046D:C52B.000A/0003:046D:C52B.000B/input/input43
[144778.879129] logitech-djdevice 0003:046D:C52B.000B: input,hidraw1: USB HID v1.11 Mouse [Logitech Unifying Device. Wireless PID:4017] on usb-0000:00:14.0-2:1